What is the Greatest Common Factor of 15105 and 15124?

Greatest common factor (GCF) of 15105 and 15124 is 19.

GCF(15105,15124) = 19

We will now calculate the prime factors of 15105 and 15124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15105 and 15124.

How to find the GCF of 15105 and 15124?

We will first find the prime factorization of 15105 and 15124. After we will calculate the factors of 15105 and 15124 and find the biggest common factor number .

Step-1: Prime Factorization of 15105

Prime factors of 15105 are 3, 5, 19, 53. Prime factorization of 15105 in exponential form is:

15105 = 3¹ × 5¹ × 19¹ × 53¹

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 15105

List of positive integer factors of 15105 that divides 15105 without a remainder.

1, 3, 5, 15, 19, 53, 57, 95, 159, 265, 285, 795, 1007, 3021, 5035

Step-4: Factors of 15124

List of positive integer factors of 15124 that divides 15105 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 15105 and 15124. The biggest common factor number is the GCF number.
So the greatest common factor 15105 and 15124 is 19.

Also check out the Least Common Multiple of 15105 and 15124