What is the Greatest Common Factor of 56964 and 56974?

Greatest common factor (GCF) of 56964 and 56974 is 2.

GCF(56964,56974) = 2

We will now calculate the prime factors of 56964 and 56974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56964 and 56974.

How to find the GCF of 56964 and 56974?

We will first find the prime factorization of 56964 and 56974. After we will calculate the factors of 56964 and 56974 and find the biggest common factor number .

Step-1: Prime Factorization of 56964

Prime factors of 56964 are 2, 3, 47, 101. Prime factorization of 56964 in exponential form is:

56964 = 2² × 3¹ × 47¹ × 101¹

Step-2: Prime Factorization of 56974

Prime factors of 56974 are 2, 61, 467. Prime factorization of 56974 in exponential form is:

56974 = 2¹ × 61¹ × 467¹

Step-3: Factors of 56964

List of positive integer factors of 56964 that divides 56964 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 101, 141, 188, 202, 282, 303, 404, 564, 606, 1212, 4747, 9494, 14241, 18988, 28482

Step-4: Factors of 56974

List of positive integer factors of 56974 that divides 56964 without a remainder.

1, 2, 61, 122, 467, 934, 28487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56964 and 56974. The biggest common factor number is the GCF number.
So the greatest common factor 56964 and 56974 is 2.

Also check out the Least Common Multiple of 56964 and 56974