What is the Greatest Common Factor of 63808 and 63826?

Greatest common factor (GCF) of 63808 and 63826 is 2.

GCF(63808,63826) = 2

We will now calculate the prime factors of 63808 and 63826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63808 and 63826.

How to find the GCF of 63808 and 63826?

We will first find the prime factorization of 63808 and 63826. After we will calculate the factors of 63808 and 63826 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 63826

Prime factors of 63826 are 2, 7, 47, 97. Prime factorization of 63826 in exponential form is:

63826 = 2¹ × 7¹ × 47¹ × 97¹

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 63826

List of positive integer factors of 63826 that divides 63808 without a remainder.

1, 2, 7, 14, 47, 94, 97, 194, 329, 658, 679, 1358, 4559, 9118, 31913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63808 and 63826. The biggest common factor number is the GCF number.
So the greatest common factor 63808 and 63826 is 2.

Also check out the Least Common Multiple of 63808 and 63826