What is the Greatest Common Factor of 87525 and 87535?

Greatest common factor (GCF) of 87525 and 87535 is 5.

GCF(87525,87535) = 5

We will now calculate the prime factors of 87525 and 87535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87525 and 87535.

How to find the GCF of 87525 and 87535?

We will first find the prime factorization of 87525 and 87535. After we will calculate the factors of 87525 and 87535 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 87535

Prime factors of 87535 are 5, 7, 41, 61. Prime factorization of 87535 in exponential form is:

87535 = 5¹ × 7¹ × 41¹ × 61¹

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 87535

List of positive integer factors of 87535 that divides 87525 without a remainder.

1, 5, 7, 35, 41, 61, 205, 287, 305, 427, 1435, 2135, 2501, 12505, 17507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87525 and 87535. The biggest common factor number is the GCF number.
So the greatest common factor 87525 and 87535 is 5.

Also check out the Least Common Multiple of 87525 and 87535