What is the Greatest Common Factor of 63898 and 63908?

Greatest common factor (GCF) of 63898 and 63908 is 2.

GCF(63898,63908) = 2

We will now calculate the prime factors of 63898 and 63908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63898 and 63908.

How to find the GCF of 63898 and 63908?

We will first find the prime factorization of 63898 and 63908. After we will calculate the factors of 63898 and 63908 and find the biggest common factor number .

Step-1: Prime Factorization of 63898

Prime factors of 63898 are 2, 43, 743. Prime factorization of 63898 in exponential form is:

63898 = 2¹ × 43¹ × 743¹

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 63898

List of positive integer factors of 63898 that divides 63898 without a remainder.

1, 2, 43, 86, 743, 1486, 31949

Step-4: Factors of 63908

List of positive integer factors of 63908 that divides 63898 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 63898 and 63908. The biggest common factor number is the GCF number.
So the greatest common factor 63898 and 63908 is 2.

Also check out the Least Common Multiple of 63898 and 63908