What is the Greatest Common Factor of 63180 and 63193?

Greatest common factor (GCF) of 63180 and 63193 is 13.

GCF(63180,63193) = 13

We will now calculate the prime factors of 63180 and 63193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63180 and 63193.

How to find the GCF of 63180 and 63193?

We will first find the prime factorization of 63180 and 63193. After we will calculate the factors of 63180 and 63193 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63193

Prime factors of 63193 are 13, 4861. Prime factorization of 63193 in exponential form is:

63193 = 13¹ × 4861¹

Step-3: Factors of 63180

List of positive integer factors of 63180 that divides 63180 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

Step-4: Factors of 63193

List of positive integer factors of 63193 that divides 63180 without a remainder.

1, 13, 4861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63180 and 63193. The biggest common factor number is the GCF number.
So the greatest common factor 63180 and 63193 is 13.

Also check out the Least Common Multiple of 63180 and 63193