What is the Greatest Common Factor of 5978 and 5992?

Greatest common factor (GCF) of 5978 and 5992 is 14.

GCF(5978,5992) = 14

We will now calculate the prime factors of 5978 and 5992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5978 and 5992.

How to find the GCF of 5978 and 5992?

We will first find the prime factorization of 5978 and 5992. After we will calculate the factors of 5978 and 5992 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5992

Prime factors of 5992 are 2, 7, 107. Prime factorization of 5992 in exponential form is:

5992 = 2³ × 7¹ × 107¹

Step-3: Factors of 5978

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

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

Step-4: Factors of 5992

List of positive integer factors of 5992 that divides 5978 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5978 and 5992. The biggest common factor number is the GCF number.
So the greatest common factor 5978 and 5992 is 14.

Also check out the Least Common Multiple of 5978 and 5992