What is the Greatest Common Factor of 63165 and 63175?

Greatest common factor (GCF) of 63165 and 63175 is 5.

GCF(63165,63175) = 5

We will now calculate the prime factors of 63165 and 63175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63165 and 63175.

How to find the GCF of 63165 and 63175?

We will first find the prime factorization of 63165 and 63175. After we will calculate the factors of 63165 and 63175 and find the biggest common factor number .

Step-1: Prime Factorization of 63165

Prime factors of 63165 are 3, 5, 4211. Prime factorization of 63165 in exponential form is:

63165 = 3¹ × 5¹ × 4211¹

Step-2: Prime Factorization of 63175

Prime factors of 63175 are 5, 7, 19. Prime factorization of 63175 in exponential form is:

63175 = 5² × 7¹ × 19²

Step-3: Factors of 63165

List of positive integer factors of 63165 that divides 63165 without a remainder.

1, 3, 5, 15, 4211, 12633, 21055

Step-4: Factors of 63175

List of positive integer factors of 63175 that divides 63165 without a remainder.

1, 5, 7, 19, 25, 35, 95, 133, 175, 361, 475, 665, 1805, 2527, 3325, 9025, 12635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63165 and 63175. The biggest common factor number is the GCF number.
So the greatest common factor 63165 and 63175 is 5.

Also check out the Least Common Multiple of 63165 and 63175