What is the Greatest Common Factor of 63958 and 63968?

Greatest common factor (GCF) of 63958 and 63968 is 2.

GCF(63958,63968) = 2

We will now calculate the prime factors of 63958 and 63968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63958 and 63968.

How to find the GCF of 63958 and 63968?

We will first find the prime factorization of 63958 and 63968. After we will calculate the factors of 63958 and 63968 and find the biggest common factor number .

Step-1: Prime Factorization of 63958

Prime factors of 63958 are 2, 113, 283. Prime factorization of 63958 in exponential form is:

63958 = 2¹ × 113¹ × 283¹

Step-2: Prime Factorization of 63968

Prime factors of 63968 are 2, 1999. Prime factorization of 63968 in exponential form is:

63968 = 2⁵ × 1999¹

Step-3: Factors of 63958

List of positive integer factors of 63958 that divides 63958 without a remainder.

1, 2, 113, 226, 283, 566, 31979

Step-4: Factors of 63968

List of positive integer factors of 63968 that divides 63958 without a remainder.

1, 2, 4, 8, 16, 32, 1999, 3998, 7996, 15992, 31984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63958 and 63968. The biggest common factor number is the GCF number.
So the greatest common factor 63958 and 63968 is 2.

Also check out the Least Common Multiple of 63958 and 63968