What is the Greatest Common Factor of 63180 and 63184?

Greatest common factor (GCF) of 63180 and 63184 is 4.

GCF(63180,63184) = 4

We will now calculate the prime factors of 63180 and 63184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63180 and 63184.

How to find the GCF of 63180 and 63184?

We will first find the prime factorization of 63180 and 63184. After we will calculate the factors of 63180 and 63184 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 63184

Prime factors of 63184 are 2, 11, 359. Prime factorization of 63184 in exponential form is:

63184 = 2⁴ × 11¹ × 359¹

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 63184

List of positive integer factors of 63184 that divides 63180 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 359, 718, 1436, 2872, 3949, 5744, 7898, 15796, 31592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63180 and 63184. The biggest common factor number is the GCF number.
So the greatest common factor 63180 and 63184 is 4.

Also check out the Least Common Multiple of 63180 and 63184