What is the Greatest Common Factor of 56112 and 56128?

Greatest common factor (GCF) of 56112 and 56128 is 16.

GCF(56112,56128) = 16

We will now calculate the prime factors of 56112 and 56128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56112 and 56128.

How to find the GCF of 56112 and 56128?

We will first find the prime factorization of 56112 and 56128. After we will calculate the factors of 56112 and 56128 and find the biggest common factor number .

Step-1: Prime Factorization of 56112

Prime factors of 56112 are 2, 3, 7, 167. Prime factorization of 56112 in exponential form is:

56112 = 2⁴ × 3¹ × 7¹ × 167¹

Step-2: Prime Factorization of 56128

Prime factors of 56128 are 2, 877. Prime factorization of 56128 in exponential form is:

56128 = 2⁶ × 877¹

Step-3: Factors of 56112

List of positive integer factors of 56112 that divides 56112 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 167, 168, 334, 336, 501, 668, 1002, 1169, 1336, 2004, 2338, 2672, 3507, 4008, 4676, 7014, 8016, 9352, 14028, 18704, 28056

Step-4: Factors of 56128

List of positive integer factors of 56128 that divides 56112 without a remainder.

1, 2, 4, 8, 16, 32, 64, 877, 1754, 3508, 7016, 14032, 28064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56112 and 56128. The biggest common factor number is the GCF number.
So the greatest common factor 56112 and 56128 is 16.

Also check out the Least Common Multiple of 56112 and 56128