What is the Greatest Common Factor of 74976 and 74988?

Greatest common factor (GCF) of 74976 and 74988 is 12.

GCF(74976,74988) = 12

We will now calculate the prime factors of 74976 and 74988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74976 and 74988.

How to find the GCF of 74976 and 74988?

We will first find the prime factorization of 74976 and 74988. After we will calculate the factors of 74976 and 74988 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74988

Prime factors of 74988 are 2, 3, 2083. Prime factorization of 74988 in exponential form is:

74988 = 2² × 3² × 2083¹

Step-3: Factors of 74976

List of positive integer factors of 74976 that divides 74976 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

Step-4: Factors of 74988

List of positive integer factors of 74988 that divides 74976 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2083, 4166, 6249, 8332, 12498, 18747, 24996, 37494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74976 and 74988. The biggest common factor number is the GCF number.
So the greatest common factor 74976 and 74988 is 12.

Also check out the Least Common Multiple of 74976 and 74988