What is the Greatest Common Factor of 15285 and 15291?

Greatest common factor (GCF) of 15285 and 15291 is 3.

GCF(15285,15291) = 3

We will now calculate the prime factors of 15285 and 15291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15285 and 15291.

How to find the GCF of 15285 and 15291?

We will first find the prime factorization of 15285 and 15291. After we will calculate the factors of 15285 and 15291 and find the biggest common factor number .

Step-1: Prime Factorization of 15285

Prime factors of 15285 are 3, 5, 1019. Prime factorization of 15285 in exponential form is:

15285 = 3¹ × 5¹ × 1019¹

Step-2: Prime Factorization of 15291

Prime factors of 15291 are 3, 1699. Prime factorization of 15291 in exponential form is:

15291 = 3² × 1699¹

Step-3: Factors of 15285

List of positive integer factors of 15285 that divides 15285 without a remainder.

1, 3, 5, 15, 1019, 3057, 5095

Step-4: Factors of 15291

List of positive integer factors of 15291 that divides 15285 without a remainder.

1, 3, 9, 1699, 5097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15285 and 15291. The biggest common factor number is the GCF number.
So the greatest common factor 15285 and 15291 is 3.

Also check out the Least Common Multiple of 15285 and 15291