What is the Greatest Common Factor of 63176 and 63180?

Greatest common factor (GCF) of 63176 and 63180 is 4.

GCF(63176,63180) = 4

We will now calculate the prime factors of 63176 and 63180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63176 and 63180.

How to find the GCF of 63176 and 63180?

We will first find the prime factorization of 63176 and 63180. After we will calculate the factors of 63176 and 63180 and find the biggest common factor number .

Step-1: Prime Factorization of 63176

Prime factors of 63176 are 2, 53, 149. Prime factorization of 63176 in exponential form is:

63176 = 2³ × 53¹ × 149¹

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 63176

List of positive integer factors of 63176 that divides 63176 without a remainder.

1, 2, 4, 8, 53, 106, 149, 212, 298, 424, 596, 1192, 7897, 15794, 31588

Step-4: Factors of 63180

List of positive integer factors of 63180 that divides 63176 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 63176 and 63180. The biggest common factor number is the GCF number.
So the greatest common factor 63176 and 63180 is 4.

Also check out the Least Common Multiple of 63176 and 63180