What is the Greatest Common Factor of 74964 and 74976?

Greatest common factor (GCF) of 74964 and 74976 is 12.

GCF(74964,74976) = 12

We will now calculate the prime factors of 74964 and 74976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74964 and 74976.

How to find the GCF of 74964 and 74976?

We will first find the prime factorization of 74964 and 74976. After we will calculate the factors of 74964 and 74976 and find the biggest common factor number .

Step-1: Prime Factorization of 74964

Prime factors of 74964 are 2, 3, 6247. Prime factorization of 74964 in exponential form is:

74964 = 2² × 3¹ × 6247¹

Step-2: Prime Factorization of 74976

Prime factors of 74976 are 2, 3, 11, 71. Prime factorization of 74976 in exponential form is:

74976 = 2⁵ × 3¹ × 11¹ × 71¹

Step-3: Factors of 74964

List of positive integer factors of 74964 that divides 74964 without a remainder.

1, 2, 3, 4, 6, 12, 6247, 12494, 18741, 24988, 37482

Step-4: Factors of 74976

List of positive integer factors of 74976 that divides 74964 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 71, 88, 96, 132, 142, 176, 213, 264, 284, 352, 426, 528, 568, 781, 852, 1056, 1136, 1562, 1704, 2272, 2343, 3124, 3408, 4686, 6248, 6816, 9372, 12496, 18744, 24992, 37488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74964 and 74976. The biggest common factor number is the GCF number.
So the greatest common factor 74964 and 74976 is 12.

Also check out the Least Common Multiple of 74964 and 74976