What is the Greatest Common Factor of 57130 and 57150?

Greatest common factor (GCF) of 57130 and 57150 is 10.

GCF(57130,57150) = 10

We will now calculate the prime factors of 57130 and 57150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57130 and 57150.

How to find the GCF of 57130 and 57150?

We will first find the prime factorization of 57130 and 57150. After we will calculate the factors of 57130 and 57150 and find the biggest common factor number .

Step-1: Prime Factorization of 57130

Prime factors of 57130 are 2, 5, 29, 197. Prime factorization of 57130 in exponential form is:

57130 = 2¹ × 5¹ × 29¹ × 197¹

Step-2: 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-3: Factors of 57130

List of positive integer factors of 57130 that divides 57130 without a remainder.

1, 2, 5, 10, 29, 58, 145, 197, 290, 394, 985, 1970, 5713, 11426, 28565

Step-4: Factors of 57150

List of positive integer factors of 57150 that divides 57130 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57130 and 57150. The biggest common factor number is the GCF number.
So the greatest common factor 57130 and 57150 is 10.

Also check out the Least Common Multiple of 57130 and 57150