What is the Greatest Common Factor of 57309 and 57315?

Greatest common factor (GCF) of 57309 and 57315 is 3.

GCF(57309,57315) = 3

We will now calculate the prime factors of 57309 and 57315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57309 and 57315.

How to find the GCF of 57309 and 57315?

We will first find the prime factorization of 57309 and 57315. After we will calculate the factors of 57309 and 57315 and find the biggest common factor number .

Step-1: Prime Factorization of 57309

Prime factors of 57309 are 3, 7, 2729. Prime factorization of 57309 in exponential form is:

57309 = 3¹ × 7¹ × 2729¹

Step-2: Prime Factorization of 57315

Prime factors of 57315 are 3, 5, 3821. Prime factorization of 57315 in exponential form is:

57315 = 3¹ × 5¹ × 3821¹

Step-3: Factors of 57309

List of positive integer factors of 57309 that divides 57309 without a remainder.

1, 3, 7, 21, 2729, 8187, 19103

Step-4: Factors of 57315

List of positive integer factors of 57315 that divides 57309 without a remainder.

1, 3, 5, 15, 3821, 11463, 19105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57309 and 57315. The biggest common factor number is the GCF number.
So the greatest common factor 57309 and 57315 is 3.

Also check out the Least Common Multiple of 57309 and 57315