What is the Greatest Common Factor of 36297 and 36315?

Greatest common factor (GCF) of 36297 and 36315 is 9.

GCF(36297,36315) = 9

We will now calculate the prime factors of 36297 and 36315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36297 and 36315.

How to find the GCF of 36297 and 36315?

We will first find the prime factorization of 36297 and 36315. After we will calculate the factors of 36297 and 36315 and find the biggest common factor number .

Step-1: Prime Factorization of 36297

Prime factors of 36297 are 3, 37, 109. Prime factorization of 36297 in exponential form is:

36297 = 3² × 37¹ × 109¹

Step-2: Prime Factorization of 36315

Prime factors of 36315 are 3, 5, 269. Prime factorization of 36315 in exponential form is:

36315 = 3³ × 5¹ × 269¹

Step-3: Factors of 36297

List of positive integer factors of 36297 that divides 36297 without a remainder.

1, 3, 9, 37, 109, 111, 327, 333, 981, 4033, 12099

Step-4: Factors of 36315

List of positive integer factors of 36315 that divides 36297 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36297 and 36315. The biggest common factor number is the GCF number.
So the greatest common factor 36297 and 36315 is 9.

Also check out the Least Common Multiple of 36297 and 36315