What is the Greatest Common Factor of 57000 and 57011?

Greatest common factor (GCF) of 57000 and 57011 is 1.

GCF(57000,57011) = 1

We will now calculate the prime factors of 57000 and 57011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57000 and 57011.

How to find the GCF of 57000 and 57011?

We will first find the prime factorization of 57000 and 57011. After we will calculate the factors of 57000 and 57011 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 57011

Prime factors of 57011 are 47, 1213. Prime factorization of 57011 in exponential form is:

57011 = 47¹ × 1213¹

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 57011

List of positive integer factors of 57011 that divides 57000 without a remainder.

1, 47, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57000 and 57011. The biggest common factor number is the GCF number.
So the greatest common factor 57000 and 57011 is 1.

Also check out the Least Common Multiple of 57000 and 57011