What is the Greatest Common Factor of 52570 and 52575?

Greatest common factor (GCF) of 52570 and 52575 is 5.

GCF(52570,52575) = 5

We will now calculate the prime factors of 52570 and 52575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52570 and 52575.

How to find the GCF of 52570 and 52575?

We will first find the prime factorization of 52570 and 52575. After we will calculate the factors of 52570 and 52575 and find the biggest common factor number .

Step-1: Prime Factorization of 52570

Prime factors of 52570 are 2, 5, 7, 751. Prime factorization of 52570 in exponential form is:

52570 = 2¹ × 5¹ × 7¹ × 751¹

Step-2: 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-3: Factors of 52570

List of positive integer factors of 52570 that divides 52570 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 751, 1502, 3755, 5257, 7510, 10514, 26285

Step-4: Factors of 52575

List of positive integer factors of 52575 that divides 52570 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52570 and 52575. The biggest common factor number is the GCF number.
So the greatest common factor 52570 and 52575 is 5.

Also check out the Least Common Multiple of 52570 and 52575