What is the Greatest Common Factor of 15309 and 15316?

Greatest common factor (GCF) of 15309 and 15316 is 7.

GCF(15309,15316) = 7

We will now calculate the prime factors of 15309 and 15316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15309 and 15316.

How to find the GCF of 15309 and 15316?

We will first find the prime factorization of 15309 and 15316. After we will calculate the factors of 15309 and 15316 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 15316

Prime factors of 15316 are 2, 7, 547. Prime factorization of 15316 in exponential form is:

15316 = 2² × 7¹ × 547¹

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 15316

List of positive integer factors of 15316 that divides 15309 without a remainder.

1, 2, 4, 7, 14, 28, 547, 1094, 2188, 3829, 7658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15309 and 15316. The biggest common factor number is the GCF number.
So the greatest common factor 15309 and 15316 is 7.

Also check out the Least Common Multiple of 15309 and 15316