What is the Greatest Common Factor of 63856 and 63869?

Greatest common factor (GCF) of 63856 and 63869 is 13.

GCF(63856,63869) = 13

We will now calculate the prime factors of 63856 and 63869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63856 and 63869.

How to find the GCF of 63856 and 63869?

We will first find the prime factorization of 63856 and 63869. After we will calculate the factors of 63856 and 63869 and find the biggest common factor number .

Step-1: Prime Factorization of 63856

Prime factors of 63856 are 2, 13, 307. Prime factorization of 63856 in exponential form is:

63856 = 2⁴ × 13¹ × 307¹

Step-2: Prime Factorization of 63869

Prime factors of 63869 are 13, 17. Prime factorization of 63869 in exponential form is:

63869 = 13¹ × 17³

Step-3: Factors of 63856

List of positive integer factors of 63856 that divides 63856 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 307, 614, 1228, 2456, 3991, 4912, 7982, 15964, 31928

Step-4: Factors of 63869

List of positive integer factors of 63869 that divides 63856 without a remainder.

1, 13, 17, 221, 289, 3757, 4913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63856 and 63869. The biggest common factor number is the GCF number.
So the greatest common factor 63856 and 63869 is 13.

Also check out the Least Common Multiple of 63856 and 63869