What is the Greatest Common Factor of 156 and 172?

Greatest common factor (GCF) of 156 and 172 is 4.

GCF(156,172) = 4

We will now calculate the prime factors of 156 and 172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 156 and 172.

How to find the GCF of 156 and 172?

We will first find the prime factorization of 156 and 172. After we will calculate the factors of 156 and 172 and find the biggest common factor number .

Step-1: Prime Factorization of 156

Prime factors of 156 are 2, 3, 13. Prime factorization of 156 in exponential form is:

156 = 2² × 3¹ × 13¹

Step-2: Prime Factorization of 172

Prime factors of 172 are 2, 43. Prime factorization of 172 in exponential form is:

172 = 2² × 43¹

Step-3: Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78

Step-4: Factors of 172

List of positive integer factors of 172 that divides 156 without a remainder.

1, 2, 4, 43, 86

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 156 and 172. The biggest common factor number is the GCF number.
So the greatest common factor 156 and 172 is 4.

Also check out the Least Common Multiple of 156 and 172