What is the Greatest Common Factor of 63840 and 63855?

Greatest common factor (GCF) of 63840 and 63855 is 15.

GCF(63840,63855) = 15

We will now calculate the prime factors of 63840 and 63855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63840 and 63855.

How to find the GCF of 63840 and 63855?

We will first find the prime factorization of 63840 and 63855. After we will calculate the factors of 63840 and 63855 and find the biggest common factor number .

Step-1: Prime Factorization of 63840

Prime factors of 63840 are 2, 3, 5, 7, 19. Prime factorization of 63840 in exponential form is:

63840 = 2⁵ × 3¹ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 63855

Prime factors of 63855 are 3, 5, 11, 43. Prime factorization of 63855 in exponential form is:

63855 = 3³ × 5¹ × 11¹ × 43¹

Step-3: Factors of 63840

List of positive integer factors of 63840 that divides 63840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 19, 20, 21, 24, 28, 30, 32, 35, 38, 40, 42, 48, 56, 57, 60, 70, 76, 80, 84, 95, 96, 105, 112, 114, 120, 133, 140, 152, 160, 168, 190, 210, 224, 228, 240, 266, 280, 285, 304, 336, 380, 399, 420, 456, 480, 532, 560, 570, 608, 665, 672, 760, 798, 840, 912, 1064, 1120, 1140, 1330, 1520, 1596, 1680, 1824, 1995, 2128, 2280, 2660, 3040, 3192, 3360, 3990, 4256, 4560, 5320, 6384, 7980, 9120, 10640, 12768, 15960, 21280, 31920

Step-4: Factors of 63855

List of positive integer factors of 63855 that divides 63840 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 43, 45, 55, 99, 129, 135, 165, 215, 297, 387, 473, 495, 645, 1161, 1419, 1485, 1935, 2365, 4257, 5805, 7095, 12771, 21285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63840 and 63855. The biggest common factor number is the GCF number.
So the greatest common factor 63840 and 63855 is 15.

Also check out the Least Common Multiple of 63840 and 63855