GCF of 1008 and 3366

What is the GCF of 1008 and 3366?


GCF of 1008 and 3366

is 18

Formula How to

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What is the Greatest Common Factor of 1008 and 3366? 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.

For calculation, here's how to calculate GCF of 1008 and 3366 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1008.
    2, 2, 2, 2, 3, 3, 7
  2. Find the prime factors of the second number 3366.
    2, 3, 3, 11, 17
  3. Multiply of all the common prime factors is the GCF value. Which is,
    18

Factors Method:

  1. Find the factors of the first number 1008.
    1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
  2. Find the factors of the second number 3366.
    1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
  3. The biggest common factor number is the GCF value. Which is,
    18

GCF (Greatest Common Factor) of 1008 and 3366 is 18.

GCD (Greatest Common Divisor) of 1008 and 3366 is 18.

HCF (Highest Common Factor) of 1008 and 3366 is 18.

Number GCF LCM
1008 & 3361 1 3387888
1008 & 3362 2 1694448
1008 & 3363 3 1129968
1008 & 3364 4 847728
1008 & 3365 1 3391920
1008 & 3366 18 188496
1008 & 3367 7 484848
1008 & 3368 8 424368
1008 & 3369 3 1131984
1008 & 3370 2 1698480
1008 & 3371 1 3397968