What is the Greatest Common Factor of 57165 and 57175?

Greatest common factor (GCF) of 57165 and 57175 is 5.

GCF(57165,57175) = 5

We will now calculate the prime factors of 57165 and 57175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57165 and 57175.

How to find the GCF of 57165 and 57175?

We will first find the prime factorization of 57165 and 57175. After we will calculate the factors of 57165 and 57175 and find the biggest common factor number .

Step-1: 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-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 57165

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

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

Step-4: Factors of 57175

List of positive integer factors of 57175 that divides 57165 without a remainder.

1, 5, 25, 2287, 11435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57165 and 57175. The biggest common factor number is the GCF number.
So the greatest common factor 57165 and 57175 is 5.

Also check out the Least Common Multiple of 57165 and 57175