What is the Greatest Common Factor of 57150 and 57165?

Greatest common factor (GCF) of 57150 and 57165 is 15.

GCF(57150,57165) = 15

We will now calculate the prime factors of 57150 and 57165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57150 and 57165.

How to find the GCF of 57150 and 57165?

We will first find the prime factorization of 57150 and 57165. After we will calculate the factors of 57150 and 57165 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 57165

Prime factors of 57165 are 3, 5, 37, 103. Prime factorization of 57165 in exponential form is:

57165 = 3¹ × 5¹ × 37¹ × 103¹

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 57165

List of positive integer factors of 57165 that divides 57150 without a remainder.

1, 3, 5, 15, 37, 103, 111, 185, 309, 515, 555, 1545, 3811, 11433, 19055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57150 and 57165. The biggest common factor number is the GCF number.
So the greatest common factor 57150 and 57165 is 15.

Also check out the Least Common Multiple of 57150 and 57165