What is the Greatest Common Factor of 52575 and 52585?

Greatest common factor (GCF) of 52575 and 52585 is 5.

GCF(52575,52585) = 5

We will now calculate the prime factors of 52575 and 52585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52575 and 52585.

How to find the GCF of 52575 and 52585?

We will first find the prime factorization of 52575 and 52585. After we will calculate the factors of 52575 and 52585 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 52585

Prime factors of 52585 are 5, 13, 809. Prime factorization of 52585 in exponential form is:

52585 = 5¹ × 13¹ × 809¹

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 52585

List of positive integer factors of 52585 that divides 52575 without a remainder.

1, 5, 13, 65, 809, 4045, 10517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52575 and 52585. The biggest common factor number is the GCF number.
So the greatest common factor 52575 and 52585 is 5.

Also check out the Least Common Multiple of 52575 and 52585