What is the Greatest Common Factor of 57000 and 57007?

Greatest common factor (GCF) of 57000 and 57007 is 1.

GCF(57000,57007) = 1

We will now calculate the prime factors of 57000 and 57007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57000 and 57007.

How to find the GCF of 57000 and 57007?

We will first find the prime factorization of 57000 and 57007. After we will calculate the factors of 57000 and 57007 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 57007

Prime factors of 57007 are 109, 523. Prime factorization of 57007 in exponential form is:

57007 = 109¹ × 523¹

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 57007

List of positive integer factors of 57007 that divides 57000 without a remainder.

1, 109, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57000 and 57007. The biggest common factor number is the GCF number.
So the greatest common factor 57000 and 57007 is 1.

Also check out the Least Common Multiple of 57000 and 57007