What is the Greatest Common Factor of 60975 and 60985?

Greatest common factor (GCF) of 60975 and 60985 is 5.

GCF(60975,60985) = 5

We will now calculate the prime factors of 60975 and 60985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60975 and 60985.

How to find the GCF of 60975 and 60985?

We will first find the prime factorization of 60975 and 60985. After we will calculate the factors of 60975 and 60985 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 60985

Prime factors of 60985 are 5, 12197. Prime factorization of 60985 in exponential form is:

60985 = 5¹ × 12197¹

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 60985

List of positive integer factors of 60985 that divides 60975 without a remainder.

1, 5, 12197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60975 and 60985. The biggest common factor number is the GCF number.
So the greatest common factor 60975 and 60985 is 5.

Also check out the Least Common Multiple of 60975 and 60985