What is the Greatest Common Factor of 56172 and 56187?

Greatest common factor (GCF) of 56172 and 56187 is 3.

GCF(56172,56187) = 3

We will now calculate the prime factors of 56172 and 56187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56172 and 56187.

How to find the GCF of 56172 and 56187?

We will first find the prime factorization of 56172 and 56187. After we will calculate the factors of 56172 and 56187 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56187

Prime factors of 56187 are 3, 2081. Prime factorization of 56187 in exponential form is:

56187 = 3³ × 2081¹

Step-3: Factors of 56172

List of positive integer factors of 56172 that divides 56172 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

Step-4: Factors of 56187

List of positive integer factors of 56187 that divides 56172 without a remainder.

1, 3, 9, 27, 2081, 6243, 18729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56172 and 56187. The biggest common factor number is the GCF number.
So the greatest common factor 56172 and 56187 is 3.

Also check out the Least Common Multiple of 56172 and 56187