What is the Greatest Common Factor of 63926 and 63934?

Greatest common factor (GCF) of 63926 and 63934 is 2.

GCF(63926,63934) = 2

We will now calculate the prime factors of 63926 and 63934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63926 and 63934.

How to find the GCF of 63926 and 63934?

We will first find the prime factorization of 63926 and 63934. After we will calculate the factors of 63926 and 63934 and find the biggest common factor number .

Step-1: Prime Factorization of 63926

Prime factors of 63926 are 2, 31963. Prime factorization of 63926 in exponential form is:

63926 = 2¹ × 31963¹

Step-2: Prime Factorization of 63934

Prime factors of 63934 are 2, 13, 2459. Prime factorization of 63934 in exponential form is:

63934 = 2¹ × 13¹ × 2459¹

Step-3: Factors of 63926

List of positive integer factors of 63926 that divides 63926 without a remainder.

1, 2, 31963

Step-4: Factors of 63934

List of positive integer factors of 63934 that divides 63926 without a remainder.

1, 2, 13, 26, 2459, 4918, 31967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63926 and 63934. The biggest common factor number is the GCF number.
So the greatest common factor 63926 and 63934 is 2.

Also check out the Least Common Multiple of 63926 and 63934