What is the Greatest Common Factor of 13152 and 13166?

Greatest common factor (GCF) of 13152 and 13166 is 2.

GCF(13152,13166) = 2

We will now calculate the prime factors of 13152 and 13166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13152 and 13166.

How to find the GCF of 13152 and 13166?

We will first find the prime factorization of 13152 and 13166. After we will calculate the factors of 13152 and 13166 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 13166

Prime factors of 13166 are 2, 29, 227. Prime factorization of 13166 in exponential form is:

13166 = 2¹ × 29¹ × 227¹

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 13166

List of positive integer factors of 13166 that divides 13152 without a remainder.

1, 2, 29, 58, 227, 454, 6583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13152 and 13166. The biggest common factor number is the GCF number.
So the greatest common factor 13152 and 13166 is 2.

Also check out the Least Common Multiple of 13152 and 13166