What is the Greatest Common Factor of 59997 and 60015?

Greatest common factor (GCF) of 59997 and 60015 is 3.

GCF(59997,60015) = 3

We will now calculate the prime factors of 59997 and 60015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59997 and 60015.

How to find the GCF of 59997 and 60015?

We will first find the prime factorization of 59997 and 60015. After we will calculate the factors of 59997 and 60015 and find the biggest common factor number .

Step-1: Prime Factorization of 59997

Prime factors of 59997 are 3, 7, 2857. Prime factorization of 59997 in exponential form is:

59997 = 3¹ × 7¹ × 2857¹

Step-2: Prime Factorization of 60015

Prime factors of 60015 are 3, 5, 4001. Prime factorization of 60015 in exponential form is:

60015 = 3¹ × 5¹ × 4001¹

Step-3: Factors of 59997

List of positive integer factors of 59997 that divides 59997 without a remainder.

1, 3, 7, 21, 2857, 8571, 19999

Step-4: Factors of 60015

List of positive integer factors of 60015 that divides 59997 without a remainder.

1, 3, 5, 15, 4001, 12003, 20005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59997 and 60015. The biggest common factor number is the GCF number.
So the greatest common factor 59997 and 60015 is 3.

Also check out the Least Common Multiple of 59997 and 60015