What is the Greatest Common Factor of 63345 and 63360?

Greatest common factor (GCF) of 63345 and 63360 is 15.

GCF(63345,63360) = 15

We will now calculate the prime factors of 63345 and 63360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63345 and 63360.

How to find the GCF of 63345 and 63360?

We will first find the prime factorization of 63345 and 63360. After we will calculate the factors of 63345 and 63360 and find the biggest common factor number .

Step-1: Prime Factorization of 63345

Prime factors of 63345 are 3, 5, 41, 103. Prime factorization of 63345 in exponential form is:

63345 = 3¹ × 5¹ × 41¹ × 103¹

Step-2: 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-3: Factors of 63345

List of positive integer factors of 63345 that divides 63345 without a remainder.

1, 3, 5, 15, 41, 103, 123, 205, 309, 515, 615, 1545, 4223, 12669, 21115

Step-4: Factors of 63360

List of positive integer factors of 63360 that divides 63345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63345 and 63360. The biggest common factor number is the GCF number.
So the greatest common factor 63345 and 63360 is 15.

Also check out the Least Common Multiple of 63345 and 63360