What is the Greatest Common Factor of 60975 and 60989?

Greatest common factor (GCF) of 60975 and 60989 is 1.

GCF(60975,60989) = 1

We will now calculate the prime factors of 60975 and 60989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60975 and 60989.

How to find the GCF of 60975 and 60989?

We will first find the prime factorization of 60975 and 60989. After we will calculate the factors of 60975 and 60989 and find the biggest common factor number .

Step-1: Prime Factorization of 60975

Prime factors of 60975 are 3, 5, 271. Prime factorization of 60975 in exponential form is:

60975 = 3² × 5² × 271¹

Step-2: Prime Factorization of 60989

Prime factors of 60989 are 71, 859. Prime factorization of 60989 in exponential form is:

60989 = 71¹ × 859¹

Step-3: Factors of 60975

List of positive integer factors of 60975 that divides 60975 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 271, 813, 1355, 2439, 4065, 6775, 12195, 20325

Step-4: Factors of 60989

List of positive integer factors of 60989 that divides 60975 without a remainder.

1, 71, 859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60975 and 60989. The biggest common factor number is the GCF number.
So the greatest common factor 60975 and 60989 is 1.

Also check out the Least Common Multiple of 60975 and 60989