What is the Greatest Common Factor of 87315 and 87325?

Greatest common factor (GCF) of 87315 and 87325 is 5.

GCF(87315,87325) = 5

We will now calculate the prime factors of 87315 and 87325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87315 and 87325.

How to find the GCF of 87315 and 87325?

We will first find the prime factorization of 87315 and 87325. After we will calculate the factors of 87315 and 87325 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87325

Prime factors of 87325 are 5, 7, 499. Prime factorization of 87325 in exponential form is:

87325 = 5² × 7¹ × 499¹

Step-3: Factors of 87315

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

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

Step-4: Factors of 87325

List of positive integer factors of 87325 that divides 87315 without a remainder.

1, 5, 7, 25, 35, 175, 499, 2495, 3493, 12475, 17465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87315 and 87325. The biggest common factor number is the GCF number.
So the greatest common factor 87315 and 87325 is 5.

Also check out the Least Common Multiple of 87315 and 87325