What is the Greatest Common Factor of 56904 and 56912?

Greatest common factor (GCF) of 56904 and 56912 is 8.

GCF(56904,56912) = 8

We will now calculate the prime factors of 56904 and 56912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56904 and 56912.

How to find the GCF of 56904 and 56912?

We will first find the prime factorization of 56904 and 56912. After we will calculate the factors of 56904 and 56912 and find the biggest common factor number .

Step-1: Prime Factorization of 56904

Prime factors of 56904 are 2, 3, 2371. Prime factorization of 56904 in exponential form is:

56904 = 2³ × 3¹ × 2371¹

Step-2: Prime Factorization of 56912

Prime factors of 56912 are 2, 3557. Prime factorization of 56912 in exponential form is:

56912 = 2⁴ × 3557¹

Step-3: Factors of 56904

List of positive integer factors of 56904 that divides 56904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2371, 4742, 7113, 9484, 14226, 18968, 28452

Step-4: Factors of 56912

List of positive integer factors of 56912 that divides 56904 without a remainder.

1, 2, 4, 8, 16, 3557, 7114, 14228, 28456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56904 and 56912. The biggest common factor number is the GCF number.
So the greatest common factor 56904 and 56912 is 8.

Also check out the Least Common Multiple of 56904 and 56912