What is the Greatest Common Factor of 52975 and 52979?

Greatest common factor (GCF) of 52975 and 52979 is 1.

GCF(52975,52979) = 1

We will now calculate the prime factors of 52975 and 52979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52975 and 52979.

How to find the GCF of 52975 and 52979?

We will first find the prime factorization of 52975 and 52979. After we will calculate the factors of 52975 and 52979 and find the biggest common factor number .

Step-1: Prime Factorization of 52975

Prime factors of 52975 are 5, 13, 163. Prime factorization of 52975 in exponential form is:

52975 = 5² × 13¹ × 163¹

Step-2: Prime Factorization of 52979

Prime factors of 52979 are 31, 1709. Prime factorization of 52979 in exponential form is:

52979 = 31¹ × 1709¹

Step-3: Factors of 52975

List of positive integer factors of 52975 that divides 52975 without a remainder.

1, 5, 13, 25, 65, 163, 325, 815, 2119, 4075, 10595

Step-4: Factors of 52979

List of positive integer factors of 52979 that divides 52975 without a remainder.

1, 31, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52975 and 52979. The biggest common factor number is the GCF number.
So the greatest common factor 52975 and 52979 is 1.

Also check out the Least Common Multiple of 52975 and 52979