What is the Greatest Common Factor of 87309 and 87315?

Greatest common factor (GCF) of 87309 and 87315 is 3.

GCF(87309,87315) = 3

We will now calculate the prime factors of 87309 and 87315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87309 and 87315.

How to find the GCF of 87309 and 87315?

We will first find the prime factorization of 87309 and 87315. After we will calculate the factors of 87309 and 87315 and find the biggest common factor number .

Step-1: Prime Factorization of 87309

Prime factors of 87309 are 3, 89, 109. Prime factorization of 87309 in exponential form is:

87309 = 3² × 89¹ × 109¹

Step-2: Prime Factorization of 87315

Prime factors of 87315 are 3, 5, 5821. Prime factorization of 87315 in exponential form is:

87315 = 3¹ × 5¹ × 5821¹

Step-3: Factors of 87309

List of positive integer factors of 87309 that divides 87309 without a remainder.

1, 3, 9, 89, 109, 267, 327, 801, 981, 9701, 29103

Step-4: Factors of 87315

List of positive integer factors of 87315 that divides 87309 without a remainder.

1, 3, 5, 15, 5821, 17463, 29105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87309 and 87315. The biggest common factor number is the GCF number.
So the greatest common factor 87309 and 87315 is 3.

Also check out the Least Common Multiple of 87309 and 87315