What is the Greatest Common Factor of 63904 and 63908?

Greatest common factor (GCF) of 63904 and 63908 is 4.

GCF(63904,63908) = 4

We will now calculate the prime factors of 63904 and 63908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63904 and 63908.

How to find the GCF of 63904 and 63908?

We will first find the prime factorization of 63904 and 63908. After we will calculate the factors of 63904 and 63908 and find the biggest common factor number .

Step-1: Prime Factorization of 63904

Prime factors of 63904 are 2, 1997. Prime factorization of 63904 in exponential form is:

63904 = 2⁵ × 1997¹

Step-2: Prime Factorization of 63908

Prime factors of 63908 are 2, 13, 1229. Prime factorization of 63908 in exponential form is:

63908 = 2² × 13¹ × 1229¹

Step-3: Factors of 63904

List of positive integer factors of 63904 that divides 63904 without a remainder.

1, 2, 4, 8, 16, 32, 1997, 3994, 7988, 15976, 31952

Step-4: Factors of 63908

List of positive integer factors of 63908 that divides 63904 without a remainder.

1, 2, 4, 13, 26, 52, 1229, 2458, 4916, 15977, 31954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63904 and 63908. The biggest common factor number is the GCF number.
So the greatest common factor 63904 and 63908 is 4.

Also check out the Least Common Multiple of 63904 and 63908