What is the Greatest Common Factor of 59988 and 60002?

Greatest common factor (GCF) of 59988 and 60002 is 2.

GCF(59988,60002) = 2

We will now calculate the prime factors of 59988 and 60002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59988 and 60002.

How to find the GCF of 59988 and 60002?

We will first find the prime factorization of 59988 and 60002. After we will calculate the factors of 59988 and 60002 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 60002

Prime factors of 60002 are 2, 19, 1579. Prime factorization of 60002 in exponential form is:

60002 = 2¹ × 19¹ × 1579¹

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 60002

List of positive integer factors of 60002 that divides 59988 without a remainder.

1, 2, 19, 38, 1579, 3158, 30001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59988 and 60002. The biggest common factor number is the GCF number.
So the greatest common factor 59988 and 60002 is 2.

Also check out the Least Common Multiple of 59988 and 60002