What is the Greatest Common Factor of 57000 and 57009?

Greatest common factor (GCF) of 57000 and 57009 is 3.

GCF(57000,57009) = 3

We will now calculate the prime factors of 57000 and 57009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57000 and 57009.

How to find the GCF of 57000 and 57009?

We will first find the prime factorization of 57000 and 57009. After we will calculate the factors of 57000 and 57009 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 57009

Prime factors of 57009 are 3, 31, 613. Prime factorization of 57009 in exponential form is:

57009 = 3¹ × 31¹ × 613¹

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 57009

List of positive integer factors of 57009 that divides 57000 without a remainder.

1, 3, 31, 93, 613, 1839, 19003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57000 and 57009. The biggest common factor number is the GCF number.
So the greatest common factor 57000 and 57009 is 3.

Also check out the Least Common Multiple of 57000 and 57009