What is the Greatest Common Factor of 60000 and 60012?

Greatest common factor (GCF) of 60000 and 60012 is 12.

GCF(60000,60012) = 12

We will now calculate the prime factors of 60000 and 60012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60000 and 60012.

How to find the GCF of 60000 and 60012?

We will first find the prime factorization of 60000 and 60012. After we will calculate the factors of 60000 and 60012 and find the biggest common factor number .

Step-1: Prime Factorization of 60000

Prime factors of 60000 are 2, 3, 5. Prime factorization of 60000 in exponential form is:

60000 = 2⁵ × 3¹ × 5⁴

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 60000

List of positive integer factors of 60000 that divides 60000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000

Step-4: Factors of 60012

List of positive integer factors of 60012 that divides 60000 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 60000 and 60012. The biggest common factor number is the GCF number.
So the greatest common factor 60000 and 60012 is 12.

Also check out the Least Common Multiple of 60000 and 60012