What is the Greatest Common Factor of 87525 and 87537?

Greatest common factor (GCF) of 87525 and 87537 is 3.

GCF(87525,87537) = 3

We will now calculate the prime factors of 87525 and 87537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87525 and 87537.

How to find the GCF of 87525 and 87537?

We will first find the prime factorization of 87525 and 87537. After we will calculate the factors of 87525 and 87537 and find the biggest common factor number .

Step-1: Prime Factorization of 87525

Prime factors of 87525 are 3, 5, 389. Prime factorization of 87525 in exponential form is:

87525 = 3² × 5² × 389¹

Step-2: Prime Factorization of 87537

Prime factors of 87537 are 3, 29179. Prime factorization of 87537 in exponential form is:

87537 = 3¹ × 29179¹

Step-3: Factors of 87525

List of positive integer factors of 87525 that divides 87525 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 389, 1167, 1945, 3501, 5835, 9725, 17505, 29175

Step-4: Factors of 87537

List of positive integer factors of 87537 that divides 87525 without a remainder.

1, 3, 29179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87525 and 87537. The biggest common factor number is the GCF number.
So the greatest common factor 87525 and 87537 is 3.

Also check out the Least Common Multiple of 87525 and 87537