What is the Greatest Common Factor of 59988 and 60006?

Greatest common factor (GCF) of 59988 and 60006 is 6.

GCF(59988,60006) = 6

We will now calculate the prime factors of 59988 and 60006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59988 and 60006.

How to find the GCF of 59988 and 60006?

We will first find the prime factorization of 59988 and 60006. After we will calculate the factors of 59988 and 60006 and find the biggest common factor number .

Step-1: Prime Factorization of 59988

Prime factors of 59988 are 2, 3, 4999. Prime factorization of 59988 in exponential form is:

59988 = 2² × 3¹ × 4999¹

Step-2: Prime Factorization of 60006

Prime factors of 60006 are 2, 3, 73, 137. Prime factorization of 60006 in exponential form is:

60006 = 2¹ × 3¹ × 73¹ × 137¹

Step-3: Factors of 59988

List of positive integer factors of 59988 that divides 59988 without a remainder.

1, 2, 3, 4, 6, 12, 4999, 9998, 14997, 19996, 29994

Step-4: Factors of 60006

List of positive integer factors of 60006 that divides 59988 without a remainder.

1, 2, 3, 6, 73, 137, 146, 219, 274, 411, 438, 822, 10001, 20002, 30003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59988 and 60006. The biggest common factor number is the GCF number.
So the greatest common factor 59988 and 60006 is 6.

Also check out the Least Common Multiple of 59988 and 60006