What is the Greatest Common Factor of 63360 and 63380?

Greatest common factor (GCF) of 63360 and 63380 is 20.

GCF(63360,63380) = 20

We will now calculate the prime factors of 63360 and 63380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63360 and 63380.

How to find the GCF of 63360 and 63380?

We will first find the prime factorization of 63360 and 63380. After we will calculate the factors of 63360 and 63380 and find the biggest common factor number .

Step-1: Prime Factorization of 63360

Prime factors of 63360 are 2, 3, 5, 11. Prime factorization of 63360 in exponential form is:

63360 = 2⁷ × 3² × 5¹ × 11¹

Step-2: Prime Factorization of 63380

Prime factors of 63380 are 2, 5, 3169. Prime factorization of 63380 in exponential form is:

63380 = 2² × 5¹ × 3169¹

Step-3: Factors of 63360

List of positive integer factors of 63360 that divides 63360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 32, 33, 36, 40, 44, 45, 48, 55, 60, 64, 66, 72, 80, 88, 90, 96, 99, 110, 120, 128, 132, 144, 160, 165, 176, 180, 192, 198, 220, 240, 264, 288, 320, 330, 352, 360, 384, 396, 440, 480, 495, 528, 576, 640, 660, 704, 720, 792, 880, 960, 990, 1056, 1152, 1320, 1408, 1440, 1584, 1760, 1920, 1980, 2112, 2640, 2880, 3168, 3520, 3960, 4224, 5280, 5760, 6336, 7040, 7920, 10560, 12672, 15840, 21120, 31680

Step-4: Factors of 63380

List of positive integer factors of 63380 that divides 63360 without a remainder.

1, 2, 4, 5, 10, 20, 3169, 6338, 12676, 15845, 31690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63360 and 63380. The biggest common factor number is the GCF number.
So the greatest common factor 63360 and 63380 is 20.

Also check out the Least Common Multiple of 63360 and 63380