What is the Greatest Common Factor of 63360 and 63378?

Greatest common factor (GCF) of 63360 and 63378 is 18.

GCF(63360,63378) = 18

We will now calculate the prime factors of 63360 and 63378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63360 and 63378.

How to find the GCF of 63360 and 63378?

We will first find the prime factorization of 63360 and 63378. After we will calculate the factors of 63360 and 63378 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 63378

Prime factors of 63378 are 2, 3, 7, 503. Prime factorization of 63378 in exponential form is:

63378 = 2¹ × 3² × 7¹ × 503¹

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 63378

List of positive integer factors of 63378 that divides 63360 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 503, 1006, 1509, 3018, 3521, 4527, 7042, 9054, 10563, 21126, 31689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63360 and 63378. The biggest common factor number is the GCF number.
So the greatest common factor 63360 and 63378 is 18.

Also check out the Least Common Multiple of 63360 and 63378