What is the Greatest Common Factor of 63808 and 63814?

Greatest common factor (GCF) of 63808 and 63814 is 2.

GCF(63808,63814) = 2

We will now calculate the prime factors of 63808 and 63814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63808 and 63814.

How to find the GCF of 63808 and 63814?

We will first find the prime factorization of 63808 and 63814. After we will calculate the factors of 63808 and 63814 and find the biggest common factor number .

Step-1: Prime Factorization of 63808

Prime factors of 63808 are 2, 997. Prime factorization of 63808 in exponential form is:

63808 = 2⁶ × 997¹

Step-2: Prime Factorization of 63814

Prime factors of 63814 are 2, 31907. Prime factorization of 63814 in exponential form is:

63814 = 2¹ × 31907¹

Step-3: Factors of 63808

List of positive integer factors of 63808 that divides 63808 without a remainder.

1, 2, 4, 8, 16, 32, 64, 997, 1994, 3988, 7976, 15952, 31904

Step-4: Factors of 63814

List of positive integer factors of 63814 that divides 63808 without a remainder.

1, 2, 31907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63808 and 63814. The biggest common factor number is the GCF number.
So the greatest common factor 63808 and 63814 is 2.

Also check out the Least Common Multiple of 63808 and 63814