What is the Greatest Common Factor of 15108 and 15124?

Greatest common factor (GCF) of 15108 and 15124 is 4.

GCF(15108,15124) = 4

We will now calculate the prime factors of 15108 and 15124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15108 and 15124.

How to find the GCF of 15108 and 15124?

We will first find the prime factorization of 15108 and 15124. After we will calculate the factors of 15108 and 15124 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15124

Prime factors of 15124 are 2, 19, 199. Prime factorization of 15124 in exponential form is:

15124 = 2² × 19¹ × 199¹

Step-3: Factors of 15108

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

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

Step-4: Factors of 15124

List of positive integer factors of 15124 that divides 15108 without a remainder.

1, 2, 4, 19, 38, 76, 199, 398, 796, 3781, 7562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15108 and 15124. The biggest common factor number is the GCF number.
So the greatest common factor 15108 and 15124 is 4.

Also check out the Least Common Multiple of 15108 and 15124