GCF of 1002 and 5624

What is the GCF of 1002 and 5624?

GCF of 1002 and 5624

is 2

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 1002 and 5624? 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 1002 and 5624 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1002.
    2, 3, 167
  2. Find the prime factors of the second number 5624.
    2, 2, 2, 19, 37
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

Factors Method:

  1. Find the factors of the first number 1002.
    1, 2, 3, 6, 167, 334, 501, 1002
  2. Find the factors of the second number 5624.
    1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 1002 and 5624 is 2.

GCD (Greatest Common Divisor) of 1002 and 5624 is 2.

HCF (Highest Common Factor) of 1002 and 5624 is 2.

Number GCF LCM
1002 & 5619 3 1876746
1002 & 5620 2 2815620
1002 & 5621 1 5632242
1002 & 5622 6 938874
1002 & 5623 1 5634246
1002 & 5624 2 2817624
1002 & 5625 3 1878750
1002 & 5626 2 2818626
1002 & 5627 1 5638254
1002 & 5628 6 939876
1002 & 5629 1 5640258
Calculations