What is the Greatest Common Factor of 152 and 172?

Greatest common factor (GCF) of 152 and 172 is 4.

GCF(152,172) = 4

We will now calculate the prime factors of 152 and 172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 152 and 172.

How to find the GCF of 152 and 172?

We will first find the prime factorization of 152 and 172. After we will calculate the factors of 152 and 172 and find the biggest common factor number .

Step-1: Prime Factorization of 152

Prime factors of 152 are 2, 19. Prime factorization of 152 in exponential form is:

152 = 2³ × 19¹

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 152

List of positive integer factors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76

Step-4: Factors of 172

List of positive integer factors of 172 that divides 152 without a remainder.

1, 2, 4, 43, 86

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 152 and 172. The biggest common factor number is the GCF number.
So the greatest common factor 152 and 172 is 4.

Also check out the Least Common Multiple of 152 and 172