What is the Greatest Common Factor of 74896 and 74912?

Greatest common factor (GCF) of 74896 and 74912 is 16.

GCF(74896,74912) = 16

We will now calculate the prime factors of 74896 and 74912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74896 and 74912.

How to find the GCF of 74896 and 74912?

We will first find the prime factorization of 74896 and 74912. After we will calculate the factors of 74896 and 74912 and find the biggest common factor number .

Step-1: Prime Factorization of 74896

Prime factors of 74896 are 2, 31, 151. Prime factorization of 74896 in exponential form is:

74896 = 2⁴ × 31¹ × 151¹

Step-2: Prime Factorization of 74912

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

74912 = 2⁵ × 2341¹

Step-3: Factors of 74896

List of positive integer factors of 74896 that divides 74896 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 151, 248, 302, 496, 604, 1208, 2416, 4681, 9362, 18724, 37448

Step-4: Factors of 74912

List of positive integer factors of 74912 that divides 74896 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74896 and 74912. The biggest common factor number is the GCF number.
So the greatest common factor 74896 and 74912 is 16.

Also check out the Least Common Multiple of 74896 and 74912