What is the Greatest Common Factor of 52575 and 52587?

Greatest common factor (GCF) of 52575 and 52587 is 3.

GCF(52575,52587) = 3

We will now calculate the prime factors of 52575 and 52587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52575 and 52587.

How to find the GCF of 52575 and 52587?

We will first find the prime factorization of 52575 and 52587. After we will calculate the factors of 52575 and 52587 and find the biggest common factor number .

Step-1: Prime Factorization of 52575

Prime factors of 52575 are 3, 5, 701. Prime factorization of 52575 in exponential form is:

52575 = 3¹ × 5² × 701¹

Step-2: Prime Factorization of 52587

Prime factors of 52587 are 3, 5843. Prime factorization of 52587 in exponential form is:

52587 = 3² × 5843¹

Step-3: Factors of 52575

List of positive integer factors of 52575 that divides 52575 without a remainder.

1, 3, 5, 15, 25, 75, 701, 2103, 3505, 10515, 17525

Step-4: Factors of 52587

List of positive integer factors of 52587 that divides 52575 without a remainder.

1, 3, 9, 5843, 17529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52575 and 52587. The biggest common factor number is the GCF number.
So the greatest common factor 52575 and 52587 is 3.

Also check out the Least Common Multiple of 52575 and 52587