What is the Greatest Common Factor of 15129 and 15135?

Greatest common factor (GCF) of 15129 and 15135 is 3.

GCF(15129,15135) = 3

We will now calculate the prime factors of 15129 and 15135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15129 and 15135.

How to find the GCF of 15129 and 15135?

We will first find the prime factorization of 15129 and 15135. After we will calculate the factors of 15129 and 15135 and find the biggest common factor number .

Step-1: Prime Factorization of 15129

Prime factors of 15129 are 3, 41. Prime factorization of 15129 in exponential form is:

15129 = 3² × 41²

Step-2: Prime Factorization of 15135

Prime factors of 15135 are 3, 5, 1009. Prime factorization of 15135 in exponential form is:

15135 = 3¹ × 5¹ × 1009¹

Step-3: Factors of 15129

List of positive integer factors of 15129 that divides 15129 without a remainder.

1, 3, 9, 41, 123, 369, 1681, 5043

Step-4: Factors of 15135

List of positive integer factors of 15135 that divides 15129 without a remainder.

1, 3, 5, 15, 1009, 3027, 5045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15129 and 15135. The biggest common factor number is the GCF number.
So the greatest common factor 15129 and 15135 is 3.

Also check out the Least Common Multiple of 15129 and 15135