What is the Greatest Common Factor of 57150 and 57167?

Greatest common factor (GCF) of 57150 and 57167 is 1.

GCF(57150,57167) = 1

We will now calculate the prime factors of 57150 and 57167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57150 and 57167.

How to find the GCF of 57150 and 57167?

We will first find the prime factorization of 57150 and 57167. After we will calculate the factors of 57150 and 57167 and find the biggest common factor number .

Step-1: Prime Factorization of 57150

Prime factors of 57150 are 2, 3, 5, 127. Prime factorization of 57150 in exponential form is:

57150 = 2¹ × 3² × 5² × 127¹

Step-2: Prime Factorization of 57167

Prime factors of 57167 are 11, 5197. Prime factorization of 57167 in exponential form is:

57167 = 11¹ × 5197¹

Step-3: Factors of 57150

List of positive integer factors of 57150 that divides 57150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 127, 150, 225, 254, 381, 450, 635, 762, 1143, 1270, 1905, 2286, 3175, 3810, 5715, 6350, 9525, 11430, 19050, 28575

Step-4: Factors of 57167

List of positive integer factors of 57167 that divides 57150 without a remainder.

1, 11, 5197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57150 and 57167. The biggest common factor number is the GCF number.
So the greatest common factor 57150 and 57167 is 1.

Also check out the Least Common Multiple of 57150 and 57167