What is the Greatest Common Factor of 63968 and 63978?

Greatest common factor (GCF) of 63968 and 63978 is 2.

GCF(63968,63978) = 2

We will now calculate the prime factors of 63968 and 63978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63968 and 63978.

How to find the GCF of 63968 and 63978?

We will first find the prime factorization of 63968 and 63978. After we will calculate the factors of 63968 and 63978 and find the biggest common factor number .

Step-1: Prime Factorization of 63968

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

63968 = 2⁵ × 1999¹

Step-2: Prime Factorization of 63978

Prime factors of 63978 are 2, 3, 10663. Prime factorization of 63978 in exponential form is:

63978 = 2¹ × 3¹ × 10663¹

Step-3: Factors of 63968

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

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

Step-4: Factors of 63978

List of positive integer factors of 63978 that divides 63968 without a remainder.

1, 2, 3, 6, 10663, 21326, 31989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63968 and 63978. The biggest common factor number is the GCF number.
So the greatest common factor 63968 and 63978 is 2.

Also check out the Least Common Multiple of 63968 and 63978