What is the Greatest Common Factor of 5968 and 5978?

Greatest common factor (GCF) of 5968 and 5978 is 2.

GCF(5968,5978) = 2

We will now calculate the prime factors of 5968 and 5978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5968 and 5978.

How to find the GCF of 5968 and 5978?

We will first find the prime factorization of 5968 and 5978. After we will calculate the factors of 5968 and 5978 and find the biggest common factor number .

Step-1: Prime Factorization of 5968

Prime factors of 5968 are 2, 373. Prime factorization of 5968 in exponential form is:

5968 = 2⁴ × 373¹

Step-2: Prime Factorization of 5978

Prime factors of 5978 are 2, 7, 61. Prime factorization of 5978 in exponential form is:

5978 = 2¹ × 7² × 61¹

Step-3: Factors of 5968

List of positive integer factors of 5968 that divides 5968 without a remainder.

1, 2, 4, 8, 16, 373, 746, 1492, 2984

Step-4: Factors of 5978

List of positive integer factors of 5978 that divides 5968 without a remainder.

1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5968 and 5978. The biggest common factor number is the GCF number.
So the greatest common factor 5968 and 5978 is 2.

Also check out the Least Common Multiple of 5968 and 5978