What is the Greatest Common Factor of 57170 and 57175?

Greatest common factor (GCF) of 57170 and 57175 is 5.

GCF(57170,57175) = 5

We will now calculate the prime factors of 57170 and 57175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57170 and 57175.

How to find the GCF of 57170 and 57175?

We will first find the prime factorization of 57170 and 57175. After we will calculate the factors of 57170 and 57175 and find the biggest common factor number .

Step-1: Prime Factorization of 57170

Prime factors of 57170 are 2, 5, 5717. Prime factorization of 57170 in exponential form is:

57170 = 2¹ × 5¹ × 5717¹

Step-2: Prime Factorization of 57175

Prime factors of 57175 are 5, 2287. Prime factorization of 57175 in exponential form is:

57175 = 5² × 2287¹

Step-3: Factors of 57170

List of positive integer factors of 57170 that divides 57170 without a remainder.

1, 2, 5, 10, 5717, 11434, 28585

Step-4: Factors of 57175

List of positive integer factors of 57175 that divides 57170 without a remainder.

1, 5, 25, 2287, 11435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57170 and 57175. The biggest common factor number is the GCF number.
So the greatest common factor 57170 and 57175 is 5.

Also check out the Least Common Multiple of 57170 and 57175