What is the Greatest Common Factor of 87525 and 87541?

Greatest common factor (GCF) of 87525 and 87541 is 1.

GCF(87525,87541) = 1

We will now calculate the prime factors of 87525 and 87541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87525 and 87541.

How to find the GCF of 87525 and 87541?

We will first find the prime factorization of 87525 and 87541. After we will calculate the factors of 87525 and 87541 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 87541

Prime factors of 87541 are 87541. Prime factorization of 87541 in exponential form is:

87541 = 87541¹

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 87541

List of positive integer factors of 87541 that divides 87525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87525 and 87541. The biggest common factor number is the GCF number.
So the greatest common factor 87525 and 87541 is 1.

Also check out the Least Common Multiple of 87525 and 87541