What is the Greatest Common Factor of 13152 and 13170?

Greatest common factor (GCF) of 13152 and 13170 is 6.

GCF(13152,13170) = 6

We will now calculate the prime factors of 13152 and 13170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13152 and 13170.

How to find the GCF of 13152 and 13170?

We will first find the prime factorization of 13152 and 13170. After we will calculate the factors of 13152 and 13170 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 13170

Prime factors of 13170 are 2, 3, 5, 439. Prime factorization of 13170 in exponential form is:

13170 = 2¹ × 3¹ × 5¹ × 439¹

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 13170

List of positive integer factors of 13170 that divides 13152 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 439, 878, 1317, 2195, 2634, 4390, 6585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13152 and 13170. The biggest common factor number is the GCF number.
So the greatest common factor 13152 and 13170 is 6.

Also check out the Least Common Multiple of 13152 and 13170