What is the Greatest Common Factor of 74912 and 74928?

Greatest common factor (GCF) of 74912 and 74928 is 16.

GCF(74912,74928) = 16

We will now calculate the prime factors of 74912 and 74928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74912 and 74928.

How to find the GCF of 74912 and 74928?

We will first find the prime factorization of 74912 and 74928. After we will calculate the factors of 74912 and 74928 and find the biggest common factor number .

Step-1: Prime Factorization of 74912

Prime factors of 74912 are 2, 2341. Prime factorization of 74912 in exponential form is:

74912 = 2⁵ × 2341¹

Step-2: Prime Factorization of 74928

Prime factors of 74928 are 2, 3, 7, 223. Prime factorization of 74928 in exponential form is:

74928 = 2⁴ × 3¹ × 7¹ × 223¹

Step-3: Factors of 74912

List of positive integer factors of 74912 that divides 74912 without a remainder.

1, 2, 4, 8, 16, 32, 2341, 4682, 9364, 18728, 37456

Step-4: Factors of 74928

List of positive integer factors of 74928 that divides 74912 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 223, 336, 446, 669, 892, 1338, 1561, 1784, 2676, 3122, 3568, 4683, 5352, 6244, 9366, 10704, 12488, 18732, 24976, 37464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74912 and 74928. The biggest common factor number is the GCF number.
So the greatest common factor 74912 and 74928 is 16.

Also check out the Least Common Multiple of 74912 and 74928