What is the Greatest Common Factor of 63170 and 63180?

Greatest common factor (GCF) of 63170 and 63180 is 10.

GCF(63170,63180) = 10

We will now calculate the prime factors of 63170 and 63180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63170 and 63180.

How to find the GCF of 63170 and 63180?

We will first find the prime factorization of 63170 and 63180. After we will calculate the factors of 63170 and 63180 and find the biggest common factor number .

Step-1: Prime Factorization of 63170

Prime factors of 63170 are 2, 5, 6317. Prime factorization of 63170 in exponential form is:

63170 = 2¹ × 5¹ × 6317¹

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 63170

List of positive integer factors of 63170 that divides 63170 without a remainder.

1, 2, 5, 10, 6317, 12634, 31585

Step-4: Factors of 63180

List of positive integer factors of 63180 that divides 63170 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 63170 and 63180. The biggest common factor number is the GCF number.
So the greatest common factor 63170 and 63180 is 10.

Also check out the Least Common Multiple of 63170 and 63180