What is the Greatest Common Factor of 63360 and 63376?

Greatest common factor (GCF) of 63360 and 63376 is 16.

GCF(63360,63376) = 16

We will now calculate the prime factors of 63360 and 63376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63360 and 63376.

How to find the GCF of 63360 and 63376?

We will first find the prime factorization of 63360 and 63376. After we will calculate the factors of 63360 and 63376 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 63376

Prime factors of 63376 are 2, 17, 233. Prime factorization of 63376 in exponential form is:

63376 = 2⁴ × 17¹ × 233¹

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 63376

List of positive integer factors of 63376 that divides 63360 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 233, 272, 466, 932, 1864, 3728, 3961, 7922, 15844, 31688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63360 and 63376. The biggest common factor number is the GCF number.
So the greatest common factor 63360 and 63376 is 16.

Also check out the Least Common Multiple of 63360 and 63376