What is the Greatest Common Factor of 15084 and 15096?

Greatest common factor (GCF) of 15084 and 15096 is 12.

GCF(15084,15096) = 12

We will now calculate the prime factors of 15084 and 15096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15084 and 15096.

How to find the GCF of 15084 and 15096?

We will first find the prime factorization of 15084 and 15096. After we will calculate the factors of 15084 and 15096 and find the biggest common factor number .

Step-1: Prime Factorization of 15084

Prime factors of 15084 are 2, 3, 419. Prime factorization of 15084 in exponential form is:

15084 = 2² × 3² × 419¹

Step-2: 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-3: Factors of 15084

List of positive integer factors of 15084 that divides 15084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 419, 838, 1257, 1676, 2514, 3771, 5028, 7542

Step-4: Factors of 15096

List of positive integer factors of 15096 that divides 15084 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15084 and 15096. The biggest common factor number is the GCF number.
So the greatest common factor 15084 and 15096 is 12.

Also check out the Least Common Multiple of 15084 and 15096