What is the Greatest Common Factor of 15135 and 15147?

Greatest common factor (GCF) of 15135 and 15147 is 3.

GCF(15135,15147) = 3

We will now calculate the prime factors of 15135 and 15147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15135 and 15147.

How to find the GCF of 15135 and 15147?

We will first find the prime factorization of 15135 and 15147. After we will calculate the factors of 15135 and 15147 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15147

Prime factors of 15147 are 3, 11, 17. Prime factorization of 15147 in exponential form is:

15147 = 3⁴ × 11¹ × 17¹

Step-3: Factors of 15135

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

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

Step-4: Factors of 15147

List of positive integer factors of 15147 that divides 15135 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 81, 99, 153, 187, 297, 459, 561, 891, 1377, 1683, 5049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15135 and 15147. The biggest common factor number is the GCF number.
So the greatest common factor 15135 and 15147 is 3.

Also check out the Least Common Multiple of 15135 and 15147