What is the Greatest Common Factor of 87315 and 87330?

Greatest common factor (GCF) of 87315 and 87330 is 15.

GCF(87315,87330) = 15

We will now calculate the prime factors of 87315 and 87330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87315 and 87330.

How to find the GCF of 87315 and 87330?

We will first find the prime factorization of 87315 and 87330. After we will calculate the factors of 87315 and 87330 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 87330

Prime factors of 87330 are 2, 3, 5, 41, 71. Prime factorization of 87330 in exponential form is:

87330 = 2¹ × 3¹ × 5¹ × 41¹ × 71¹

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 87330

List of positive integer factors of 87330 that divides 87315 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 71, 82, 123, 142, 205, 213, 246, 355, 410, 426, 615, 710, 1065, 1230, 2130, 2911, 5822, 8733, 14555, 17466, 29110, 43665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87315 and 87330. The biggest common factor number is the GCF number.
So the greatest common factor 87315 and 87330 is 15.

Also check out the Least Common Multiple of 87315 and 87330