What is the Greatest Common Factor of 13144 and 13152?

Greatest common factor (GCF) of 13144 and 13152 is 8.

GCF(13144,13152) = 8

We will now calculate the prime factors of 13144 and 13152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13144 and 13152.

How to find the GCF of 13144 and 13152?

We will first find the prime factorization of 13144 and 13152. After we will calculate the factors of 13144 and 13152 and find the biggest common factor number .

Step-1: Prime Factorization of 13144

Prime factors of 13144 are 2, 31, 53. Prime factorization of 13144 in exponential form is:

13144 = 2³ × 31¹ × 53¹

Step-2: 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-3: Factors of 13144

List of positive integer factors of 13144 that divides 13144 without a remainder.

1, 2, 4, 8, 31, 53, 62, 106, 124, 212, 248, 424, 1643, 3286, 6572

Step-4: Factors of 13152

List of positive integer factors of 13152 that divides 13144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13144 and 13152. The biggest common factor number is the GCF number.
So the greatest common factor 13144 and 13152 is 8.

Also check out the Least Common Multiple of 13144 and 13152