What is the Greatest Common Factor of 15096 and 15108?

Greatest common factor (GCF) of 15096 and 15108 is 12.

GCF(15096,15108) = 12

We will now calculate the prime factors of 15096 and 15108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15096 and 15108.

How to find the GCF of 15096 and 15108?

We will first find the prime factorization of 15096 and 15108. After we will calculate the factors of 15096 and 15108 and find the biggest common factor number .

Step-1: Prime Factorization of 15096

Prime factors of 15096 are 2, 3, 17, 37. Prime factorization of 15096 in exponential form is:

15096 = 2³ × 3¹ × 17¹ × 37¹

Step-2: Prime Factorization of 15108

Prime factors of 15108 are 2, 3, 1259. Prime factorization of 15108 in exponential form is:

15108 = 2² × 3¹ × 1259¹

Step-3: Factors of 15096

List of positive integer factors of 15096 that divides 15096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 37, 51, 68, 74, 102, 111, 136, 148, 204, 222, 296, 408, 444, 629, 888, 1258, 1887, 2516, 3774, 5032, 7548

Step-4: Factors of 15108

List of positive integer factors of 15108 that divides 15096 without a remainder.

1, 2, 3, 4, 6, 12, 1259, 2518, 3777, 5036, 7554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15096 and 15108. The biggest common factor number is the GCF number.
So the greatest common factor 15096 and 15108 is 12.

Also check out the Least Common Multiple of 15096 and 15108