What is the Greatest Common Factor of 87915 and 87925?

Greatest common factor (GCF) of 87915 and 87925 is 5.

GCF(87915,87925) = 5

We will now calculate the prime factors of 87915 and 87925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87915 and 87925.

How to find the GCF of 87915 and 87925?

We will first find the prime factorization of 87915 and 87925. After we will calculate the factors of 87915 and 87925 and find the biggest common factor number .

Step-1: Prime Factorization of 87915

Prime factors of 87915 are 3, 5, 5861. Prime factorization of 87915 in exponential form is:

87915 = 3¹ × 5¹ × 5861¹

Step-2: Prime Factorization of 87925

Prime factors of 87925 are 5, 3517. Prime factorization of 87925 in exponential form is:

87925 = 5² × 3517¹

Step-3: Factors of 87915

List of positive integer factors of 87915 that divides 87915 without a remainder.

1, 3, 5, 15, 5861, 17583, 29305

Step-4: Factors of 87925

List of positive integer factors of 87925 that divides 87915 without a remainder.

1, 5, 25, 3517, 17585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87915 and 87925. The biggest common factor number is the GCF number.
So the greatest common factor 87915 and 87925 is 5.

Also check out the Least Common Multiple of 87915 and 87925