What is the Greatest Common Factor of 56164 and 56172?

Greatest common factor (GCF) of 56164 and 56172 is 4.

GCF(56164,56172) = 4

We will now calculate the prime factors of 56164 and 56172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56164 and 56172.

How to find the GCF of 56164 and 56172?

We will first find the prime factorization of 56164 and 56172. After we will calculate the factors of 56164 and 56172 and find the biggest common factor number .

Step-1: Prime Factorization of 56164

Prime factors of 56164 are 2, 19, 739. Prime factorization of 56164 in exponential form is:

56164 = 2² × 19¹ × 739¹

Step-2: Prime Factorization of 56172

Prime factors of 56172 are 2, 3, 31, 151. Prime factorization of 56172 in exponential form is:

56172 = 2² × 3¹ × 31¹ × 151¹

Step-3: Factors of 56164

List of positive integer factors of 56164 that divides 56164 without a remainder.

1, 2, 4, 19, 38, 76, 739, 1478, 2956, 14041, 28082

Step-4: Factors of 56172

List of positive integer factors of 56172 that divides 56164 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 151, 186, 302, 372, 453, 604, 906, 1812, 4681, 9362, 14043, 18724, 28086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56164 and 56172. The biggest common factor number is the GCF number.
So the greatest common factor 56164 and 56172 is 4.

Also check out the Least Common Multiple of 56164 and 56172