What is the Greatest Common Factor of 63849 and 63855?

Greatest common factor (GCF) of 63849 and 63855 is 3.

GCF(63849,63855) = 3

We will now calculate the prime factors of 63849 and 63855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63849 and 63855.

How to find the GCF of 63849 and 63855?

We will first find the prime factorization of 63849 and 63855. After we will calculate the factors of 63849 and 63855 and find the biggest common factor number .

Step-1: Prime Factorization of 63849

Prime factors of 63849 are 3, 21283. Prime factorization of 63849 in exponential form is:

63849 = 3¹ × 21283¹

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 63849

List of positive integer factors of 63849 that divides 63849 without a remainder.

1, 3, 21283

Step-4: Factors of 63855

List of positive integer factors of 63855 that divides 63849 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 63849 and 63855. The biggest common factor number is the GCF number.
So the greatest common factor 63849 and 63855 is 3.

Also check out the Least Common Multiple of 63849 and 63855