What is the Greatest Common Factor of 63160 and 63180?

Greatest common factor (GCF) of 63160 and 63180 is 20.

GCF(63160,63180) = 20

We will now calculate the prime factors of 63160 and 63180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63160 and 63180.

How to find the GCF of 63160 and 63180?

We will first find the prime factorization of 63160 and 63180. After we will calculate the factors of 63160 and 63180 and find the biggest common factor number .

Step-1: Prime Factorization of 63160

Prime factors of 63160 are 2, 5, 1579. Prime factorization of 63160 in exponential form is:

63160 = 2³ × 5¹ × 1579¹

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 63160

List of positive integer factors of 63160 that divides 63160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1579, 3158, 6316, 7895, 12632, 15790, 31580

Step-4: Factors of 63180

List of positive integer factors of 63180 that divides 63160 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 63160 and 63180. The biggest common factor number is the GCF number.
So the greatest common factor 63160 and 63180 is 20.

Also check out the Least Common Multiple of 63160 and 63180