What is the Greatest Common Factor of 52475 and 52495?

Greatest common factor (GCF) of 52475 and 52495 is 5.

GCF(52475,52495) = 5

We will now calculate the prime factors of 52475 and 52495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52475 and 52495.

How to find the GCF of 52475 and 52495?

We will first find the prime factorization of 52475 and 52495. After we will calculate the factors of 52475 and 52495 and find the biggest common factor number .

Step-1: Prime Factorization of 52475

Prime factors of 52475 are 5, 2099. Prime factorization of 52475 in exponential form is:

52475 = 5² × 2099¹

Step-2: Prime Factorization of 52495

Prime factors of 52495 are 5, 10499. Prime factorization of 52495 in exponential form is:

52495 = 5¹ × 10499¹

Step-3: Factors of 52475

List of positive integer factors of 52475 that divides 52475 without a remainder.

1, 5, 25, 2099, 10495

Step-4: Factors of 52495

List of positive integer factors of 52495 that divides 52475 without a remainder.

1, 5, 10499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52475 and 52495. The biggest common factor number is the GCF number.
So the greatest common factor 52475 and 52495 is 5.

Also check out the Least Common Multiple of 52475 and 52495