What is the Greatest Common Factor of 63180 and 63194?

Greatest common factor (GCF) of 63180 and 63194 is 2.

GCF(63180,63194) = 2

We will now calculate the prime factors of 63180 and 63194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63180 and 63194.

How to find the GCF of 63180 and 63194?

We will first find the prime factorization of 63180 and 63194. After we will calculate the factors of 63180 and 63194 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 63194

Prime factors of 63194 are 2, 19, 1663. Prime factorization of 63194 in exponential form is:

63194 = 2¹ × 19¹ × 1663¹

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 63194

List of positive integer factors of 63194 that divides 63180 without a remainder.

1, 2, 19, 38, 1663, 3326, 31597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63180 and 63194. The biggest common factor number is the GCF number.
So the greatest common factor 63180 and 63194 is 2.

Also check out the Least Common Multiple of 63180 and 63194