What is the Greatest Common Factor of 56112 and 56132?

Greatest common factor (GCF) of 56112 and 56132 is 4.

GCF(56112,56132) = 4

We will now calculate the prime factors of 56112 and 56132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56112 and 56132.

How to find the GCF of 56112 and 56132?

We will first find the prime factorization of 56112 and 56132. After we will calculate the factors of 56112 and 56132 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 56132

Prime factors of 56132 are 2, 14033. Prime factorization of 56132 in exponential form is:

56132 = 2² × 14033¹

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 56132

List of positive integer factors of 56132 that divides 56112 without a remainder.

1, 2, 4, 14033, 28066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56112 and 56132. The biggest common factor number is the GCF number.
So the greatest common factor 56112 and 56132 is 4.

Also check out the Least Common Multiple of 56112 and 56132