What is the Greatest Common Factor of 63175 and 63180?

Greatest common factor (GCF) of 63175 and 63180 is 5.

GCF(63175,63180) = 5

We will now calculate the prime factors of 63175 and 63180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63175 and 63180.

How to find the GCF of 63175 and 63180?

We will first find the prime factorization of 63175 and 63180. After we will calculate the factors of 63175 and 63180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63180

Prime factors of 63180 are 2, 3, 5, 13. Prime factorization of 63180 in exponential form is:

63180 = 2² × 3⁵ × 5¹ × 13¹

Step-3: Factors of 63175

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

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

Step-4: Factors of 63180

List of positive integer factors of 63180 that divides 63175 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 81, 90, 108, 117, 130, 135, 156, 162, 180, 195, 234, 243, 260, 270, 324, 351, 390, 405, 468, 486, 540, 585, 702, 780, 810, 972, 1053, 1170, 1215, 1404, 1620, 1755, 2106, 2340, 2430, 3159, 3510, 4212, 4860, 5265, 6318, 7020, 10530, 12636, 15795, 21060, 31590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63175 and 63180. The biggest common factor number is the GCF number.
So the greatest common factor 63175 and 63180 is 5.

Also check out the Least Common Multiple of 63175 and 63180