What is the Greatest Common Factor of 15028 and 15045?

Greatest common factor (GCF) of 15028 and 15045 is 17.

GCF(15028,15045) = 17

We will now calculate the prime factors of 15028 and 15045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15028 and 15045.

How to find the GCF of 15028 and 15045?

We will first find the prime factorization of 15028 and 15045. After we will calculate the factors of 15028 and 15045 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15045

Prime factors of 15045 are 3, 5, 17, 59. Prime factorization of 15045 in exponential form is:

15045 = 3¹ × 5¹ × 17¹ × 59¹

Step-3: Factors of 15028

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

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

Step-4: Factors of 15045

List of positive integer factors of 15045 that divides 15028 without a remainder.

1, 3, 5, 15, 17, 51, 59, 85, 177, 255, 295, 885, 1003, 3009, 5015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15028 and 15045. The biggest common factor number is the GCF number.
So the greatest common factor 15028 and 15045 is 17.

Also check out the Least Common Multiple of 15028 and 15045