What is the Greatest Common Factor of 57000 and 57012?

Greatest common factor (GCF) of 57000 and 57012 is 12.

GCF(57000,57012) = 12

We will now calculate the prime factors of 57000 and 57012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57000 and 57012.

How to find the GCF of 57000 and 57012?

We will first find the prime factorization of 57000 and 57012. After we will calculate the factors of 57000 and 57012 and find the biggest common factor number .

Step-1: Prime Factorization of 57000

Prime factors of 57000 are 2, 3, 5, 19. Prime factorization of 57000 in exponential form is:

57000 = 2³ × 3¹ × 5³ × 19¹

Step-2: Prime Factorization of 57012

Prime factors of 57012 are 2, 3, 4751. Prime factorization of 57012 in exponential form is:

57012 = 2² × 3¹ × 4751¹

Step-3: Factors of 57000

List of positive integer factors of 57000 that divides 57000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 25, 30, 38, 40, 50, 57, 60, 75, 76, 95, 100, 114, 120, 125, 150, 152, 190, 200, 228, 250, 285, 300, 375, 380, 456, 475, 500, 570, 600, 750, 760, 950, 1000, 1140, 1425, 1500, 1900, 2280, 2375, 2850, 3000, 3800, 4750, 5700, 7125, 9500, 11400, 14250, 19000, 28500

Step-4: Factors of 57012

List of positive integer factors of 57012 that divides 57000 without a remainder.

1, 2, 3, 4, 6, 12, 4751, 9502, 14253, 19004, 28506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57000 and 57012. The biggest common factor number is the GCF number.
So the greatest common factor 57000 and 57012 is 12.

Also check out the Least Common Multiple of 57000 and 57012