What is the Greatest Common Factor of 74892 and 74912?

Greatest common factor (GCF) of 74892 and 74912 is 4.

GCF(74892,74912) = 4

We will now calculate the prime factors of 74892 and 74912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74892 and 74912.

How to find the GCF of 74892 and 74912?

We will first find the prime factorization of 74892 and 74912. After we will calculate the factors of 74892 and 74912 and find the biggest common factor number .

Step-1: Prime Factorization of 74892

Prime factors of 74892 are 2, 3, 79. Prime factorization of 74892 in exponential form is:

74892 = 2² × 3¹ × 79²

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 74892

List of positive integer factors of 74892 that divides 74892 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948, 6241, 12482, 18723, 24964, 37446

Step-4: Factors of 74912

List of positive integer factors of 74912 that divides 74892 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 74892 and 74912. The biggest common factor number is the GCF number.
So the greatest common factor 74892 and 74912 is 4.

Also check out the Least Common Multiple of 74892 and 74912