What is the Greatest Common Factor of 74656 and 74672?

Greatest common factor (GCF) of 74656 and 74672 is 16.

GCF(74656,74672) = 16

We will now calculate the prime factors of 74656 and 74672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74656 and 74672.

How to find the GCF of 74656 and 74672?

We will first find the prime factorization of 74656 and 74672. After we will calculate the factors of 74656 and 74672 and find the biggest common factor number .

Step-1: Prime Factorization of 74656

Prime factors of 74656 are 2, 2333. Prime factorization of 74656 in exponential form is:

74656 = 2⁵ × 2333¹

Step-2: Prime Factorization of 74672

Prime factors of 74672 are 2, 13, 359. Prime factorization of 74672 in exponential form is:

74672 = 2⁴ × 13¹ × 359¹

Step-3: Factors of 74656

List of positive integer factors of 74656 that divides 74656 without a remainder.

1, 2, 4, 8, 16, 32, 2333, 4666, 9332, 18664, 37328

Step-4: Factors of 74672

List of positive integer factors of 74672 that divides 74656 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 359, 718, 1436, 2872, 4667, 5744, 9334, 18668, 37336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74656 and 74672. The biggest common factor number is the GCF number.
So the greatest common factor 74656 and 74672 is 16.

Also check out the Least Common Multiple of 74656 and 74672