What is the Greatest Common Factor of 15015 and 15028?

Greatest common factor (GCF) of 15015 and 15028 is 13.

GCF(15015,15028) = 13

We will now calculate the prime factors of 15015 and 15028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15015 and 15028.

How to find the GCF of 15015 and 15028?

We will first find the prime factorization of 15015 and 15028. After we will calculate the factors of 15015 and 15028 and find the biggest common factor number .

Step-1: Prime Factorization of 15015

Prime factors of 15015 are 3, 5, 7, 11, 13. Prime factorization of 15015 in exponential form is:

15015 = 3¹ × 5¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 15028

Prime factors of 15028 are 2, 13, 17. Prime factorization of 15028 in exponential form is:

15028 = 2² × 13¹ × 17²

Step-3: Factors of 15015

List of positive integer factors of 15015 that divides 15015 without a remainder.

1, 3, 5, 7, 11, 13, 15, 21, 33, 35, 39, 55, 65, 77, 91, 105, 143, 165, 195, 231, 273, 385, 429, 455, 715, 1001, 1155, 1365, 2145, 3003, 5005

Step-4: Factors of 15028

List of positive integer factors of 15028 that divides 15015 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 289, 442, 578, 884, 1156, 3757, 7514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15015 and 15028. The biggest common factor number is the GCF number.
So the greatest common factor 15015 and 15028 is 13.

Also check out the Least Common Multiple of 15015 and 15028