What is the Greatest Common Factor of 13152 and 13172?

Greatest common factor (GCF) of 13152 and 13172 is 4.

GCF(13152,13172) = 4

We will now calculate the prime factors of 13152 and 13172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13152 and 13172.

How to find the GCF of 13152 and 13172?

We will first find the prime factorization of 13152 and 13172. After we will calculate the factors of 13152 and 13172 and find the biggest common factor number .

Step-1: Prime Factorization of 13152

Prime factors of 13152 are 2, 3, 137. Prime factorization of 13152 in exponential form is:

13152 = 2⁵ × 3¹ × 137¹

Step-2: Prime Factorization of 13172

Prime factors of 13172 are 2, 37, 89. Prime factorization of 13172 in exponential form is:

13172 = 2² × 37¹ × 89¹

Step-3: Factors of 13152

List of positive integer factors of 13152 that divides 13152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 4384, 6576

Step-4: Factors of 13172

List of positive integer factors of 13172 that divides 13152 without a remainder.

1, 2, 4, 37, 74, 89, 148, 178, 356, 3293, 6586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13152 and 13172. The biggest common factor number is the GCF number.
So the greatest common factor 13152 and 13172 is 4.

Also check out the Least Common Multiple of 13152 and 13172