What is the Greatest Common Factor of 60012 and 60024?

Greatest common factor (GCF) of 60012 and 60024 is 12.

GCF(60012,60024) = 12

We will now calculate the prime factors of 60012 and 60024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60012 and 60024.

How to find the GCF of 60012 and 60024?

We will first find the prime factorization of 60012 and 60024. After we will calculate the factors of 60012 and 60024 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60024

Prime factors of 60024 are 2, 3, 41, 61. Prime factorization of 60024 in exponential form is:

60024 = 2³ × 3¹ × 41¹ × 61¹

Step-3: Factors of 60012

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

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

Step-4: Factors of 60024

List of positive integer factors of 60024 that divides 60012 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 61, 82, 122, 123, 164, 183, 244, 246, 328, 366, 488, 492, 732, 984, 1464, 2501, 5002, 7503, 10004, 15006, 20008, 30012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60012 and 60024. The biggest common factor number is the GCF number.
So the greatest common factor 60012 and 60024 is 12.

Also check out the Least Common Multiple of 60012 and 60024