What is the Greatest Common Factor of 15309 and 15315?

Greatest common factor (GCF) of 15309 and 15315 is 3.

GCF(15309,15315) = 3

We will now calculate the prime factors of 15309 and 15315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15309 and 15315.

How to find the GCF of 15309 and 15315?

We will first find the prime factorization of 15309 and 15315. After we will calculate the factors of 15309 and 15315 and find the biggest common factor number .

Step-1: Prime Factorization of 15309

Prime factors of 15309 are 3, 7. Prime factorization of 15309 in exponential form is:

15309 = 3⁷ × 7¹

Step-2: Prime Factorization of 15315

Prime factors of 15315 are 3, 5, 1021. Prime factorization of 15315 in exponential form is:

15315 = 3¹ × 5¹ × 1021¹

Step-3: Factors of 15309

List of positive integer factors of 15309 that divides 15309 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 729, 1701, 2187, 5103

Step-4: Factors of 15315

List of positive integer factors of 15315 that divides 15309 without a remainder.

1, 3, 5, 15, 1021, 3063, 5105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15309 and 15315. The biggest common factor number is the GCF number.
So the greatest common factor 15309 and 15315 is 3.

Also check out the Least Common Multiple of 15309 and 15315