# Greatest Common Factor

## Find the GCF of Two Numbers

The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then Multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

Number GCF LCM
12 & 18 6 36
8 & 12 4 24
24 & 36 12 72
18 & 24 6 72
28 & 32 4 224
18 & 30 6 90
12 & 30 6 60
16 & 24 8 48
12 & 16 4 48
12 & 20 4 60
27 & 36 9 108
12 & 15 3 60
36 & 54 18 108
9 & 12 3 36
18 & 42 6 126
18 & 27 9 54
36 & 48 12 144
24 & 30 6 120
40 & 48 8 240
28 & 42 14 84
6 & 9 3 18
16 & 36 4 144
6 & 15 3 30
30 & 45 15 90
36 & 42 6 252
18 & 12 6 36
30 & 42 6 210
9 & 15 3 45
48 & 72 24 144
32 & 80 16 160
24 & 28 4 168
27 & 45 9 135
24 & 32 8 96
14 & 21 7 42
32 & 48 16 96
16 & 20 4 80
12 & 28 4 84
18 & 45 9 90
36 & 45 9 180
21 & 40 1 840
15 & 20 5 60
45 & 75 15 225
14 & 35 7 70
86 & 42 2 1806
60 & 72 12 360
30 & 75 15 150
25 & 90 5 450
8 & 10 2 40
32 & 36 4 288
8 & 24 8 24
28 & 70 14 140
20 & 30 10 60
12 & 32 4 96
18 & 36 18 36
54 & 32 2 864
45 & 60 15 180
72 & 18 18 72
72 & 90 18 360
10 & 15 5 30
72 & 36 36 72
36 & 90 18 180
63 & 81 9 567
48 & 64 16 192
16 & 48 16 48
16 & 28 4 112
48 & 84 12 336
21 & 35 7 105
24 & 18 6 72
55 & 77 11 385
54 & 27 27 54
12 & 24 12 24
24 & 72 24 72
75 & 30 15 150
15 & 35 5 105
32 & 45 1 1440
72 & 96 24 288
54 & 36 18 108
42 & 90 6 630
24 & 48 24 48
36 & 63 9 252
54 & 72 18 216
28 & 36 4 252
12 & 36 12 36
6 & 35 1 210
56 & 42 14 168
8 & 20 4 40
84 & 96 12 672
50 & 75 25 150
10 & 25 5 50
6 & 10 2 30
8 & 32 8 32
12 & 48 12 48
56 & 96 8 672
49 & 63 7 441
30 & 18 6 90
16 & 40 8 80
10 & 45 5 90
15 & 25 5 75
20 & 24 4 120
24 & 60 12 120
63 & 84 21 252
32 & 56 8 224
15 & 45 15 45
12 & 42 6 84
36 & 27 9 108
90 & 135 45 270
81 & 48 3 1296
15 & 30 15 30
60 & 45 15 180
24 & 40 8 120
14 & 49 7 98
24 & 64 8 192
25 & 35 5 175
18 & 32 2 288
42 & 63 21 126
28 & 35 7 140
48 & 16 16 48
7 & 9 1 63
81 & 36 9 324
63 & 42 21 126
9 & 27 9 27
48 & 60 12 240
6 & 18 6 18
9 & 36 9 36
56 & 21 7 168
24 & 54 6 216
9 & 16 1 144
45 & 81 9 405
16 & 12 4 48
24 & 42 6 168
10 & 12 2 60
4 & 8 4 8
24 & 56 8 168
24 & 16 8 48
8 & 16 8 16
21 & 28 7 84
72 & 24 24 72
15 & 6 3 30
26 & 39 13 78
18 & 48 6 144
48 & 80 16 240
20 & 8 4 40
48 & 56 8 336
56 & 35 7 280
14 & 28 14 28
60 & 75 15 300
16 & 56 8 112
5 & 10 5 10
40 & 56 8 280
45 & 18 9 90
12 & 9 3 36
4 & 6 2 12
75 & 90 15 450
9 & 6 3 18
40 & 63 1 2520
18 & 54 18 54
42 & 56 14 168
12 & 8 4 24
35 & 49 7 245
4 & 12 4 12
6 & 12 6 12
14 & 42 14 42
4 & 10 2 20
32 & 40 8 160
16 & 32 16 32
20 & 45 5 180
20 & 32 4 160
39 & 13 13 39
3 & 4 1 12
2 & 3 1 6
36 & 24 12 72
30 & 40 10 120
18 & 20 2 180
13 & 39 13 39
40 & 72 8 360
42 & 72 6 504
8 & 15 1 120
45 & 63 9 315
45 & 27 9 135
24 & 90 6 360
28 & 24 4 168
64 & 40 8 320
44 & 48 4 528
40 & 60 20 120
10 & 20 10 20
3 & 5 1 15
9 & 18 9 18
3 & 6 3 6
4 & 9 1 36
15 & 21 3 105
32 & 24 8 96
27 & 72 9 216
16 & 18 2 144
8 & 14 2 56
30 & 48 6 240
54 & 24 6 216
15 & 40 5 120
3 & 9 3 9
15 & 18 3 90
56 & 64 8 448
21 & 49 7 147
54 & 45 9 270
8 & 28 4 56
6 & 8 2 24
21 & 30 3 210
28 & 12 4 84
78 & 104 26 312
64 & 72 8 576
20 & 28 4 140
39 & 6 3 78
36 & 60 12 180
45 & 36 9 180
8 & 6 2 24
60 & 90 30 180
28 & 48 4 336
2 & 4 2 4
25 & 30 5 150
36 & 64 4 576
15 & 28 1 420
35 & 28 7 140
16 & 64 16 64
15 & 12 3 60
20 & 36 4 180
30 & 50 10 150
51 & 85 17 255
20 & 50 10 100
6 & 4 2 12
3 & 12 3 12
45 & 42 3 630
35 & 42 7 210
30 & 24 6 120
44 & 33 11 132
18 & 60 6 180
15 & 27 3 135
9 & 21 3 63
34 & 51 17 102
15 & 24 3 120
32 & 72 8 288
28 & 49 7 196
54 & 90 18 270
49 & 98 49 98
10 & 35 5 70
15 & 60 15 60
9 & 14 1 126
12 & 27 3 108
12 & 60 12 60
16 & 72 8 144
56 & 32 8 224
32 & 50 2 800
25 & 40 5 200
36 & 16 4 144
40 & 50 10 200
20 & 12 4 60
42 & 30 6 210
6 & 21 3 42
34 & 85 17 170
4 & 20 4 20
54 & 81 27 162
7 & 8 1 56
65 & 91 13 455
12 & 14 2 84
42 & 24 6 168
20 & 16 4 80
14 & 15 1 210
6 & 7 1 42
45 & 72 9 360
28 & 63 7 252
36 & 40 4 360
18 & 35 1 630
25 & 75 25 75
36 & 72 36 72
2 & 5 1 10

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