What is the Greatest Common Factor of 60002 and 60012?

Greatest common factor (GCF) of 60002 and 60012 is 2.

GCF(60002,60012) = 2

We will now calculate the prime factors of 60002 and 60012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60002 and 60012.

How to find the GCF of 60002 and 60012?

We will first find the prime factorization of 60002 and 60012. After we will calculate the factors of 60002 and 60012 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60012

Prime factors of 60012 are 2, 3, 1667. Prime factorization of 60012 in exponential form is:

60012 = 2² × 3² × 1667¹

Step-3: Factors of 60002

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

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

Step-4: Factors of 60012

List of positive integer factors of 60012 that divides 60002 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1667, 3334, 5001, 6668, 10002, 15003, 20004, 30006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60002 and 60012. The biggest common factor number is the GCF number.
So the greatest common factor 60002 and 60012 is 2.

Also check out the Least Common Multiple of 60002 and 60012