What is the Greatest Common Factor of 13152 and 13167?

Greatest common factor (GCF) of 13152 and 13167 is 3.

GCF(13152,13167) = 3

We will now calculate the prime factors of 13152 and 13167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13152 and 13167.

How to find the GCF of 13152 and 13167?

We will first find the prime factorization of 13152 and 13167. After we will calculate the factors of 13152 and 13167 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 13167

Prime factors of 13167 are 3, 7, 11, 19. Prime factorization of 13167 in exponential form is:

13167 = 3² × 7¹ × 11¹ × 19¹

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 13167

List of positive integer factors of 13167 that divides 13152 without a remainder.

1, 3, 7, 9, 11, 19, 21, 33, 57, 63, 77, 99, 133, 171, 209, 231, 399, 627, 693, 1197, 1463, 1881, 4389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13152 and 13167. The biggest common factor number is the GCF number.
So the greatest common factor 13152 and 13167 is 3.

Also check out the Least Common Multiple of 13152 and 13167