What is the Greatest Common Factor of 63162 and 63180?

Greatest common factor (GCF) of 63162 and 63180 is 18.

GCF(63162,63180) = 18

We will now calculate the prime factors of 63162 and 63180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63162 and 63180.

How to find the GCF of 63162 and 63180?

We will first find the prime factorization of 63162 and 63180. After we will calculate the factors of 63162 and 63180 and find the biggest common factor number .

Step-1: Prime Factorization of 63162

Prime factors of 63162 are 2, 3, 11, 29. Prime factorization of 63162 in exponential form is:

63162 = 2¹ × 3² × 11² × 29¹

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 63162

List of positive integer factors of 63162 that divides 63162 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 121, 174, 198, 242, 261, 319, 363, 522, 638, 726, 957, 1089, 1914, 2178, 2871, 3509, 5742, 7018, 10527, 21054, 31581

Step-4: Factors of 63180

List of positive integer factors of 63180 that divides 63162 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 63162 and 63180. The biggest common factor number is the GCF number.
So the greatest common factor 63162 and 63180 is 18.

Also check out the Least Common Multiple of 63162 and 63180