What is the Greatest Common Factor of 5972 and 5978?

Greatest common factor (GCF) of 5972 and 5978 is 2.

GCF(5972,5978) = 2

We will now calculate the prime factors of 5972 and 5978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5972 and 5978.

How to find the GCF of 5972 and 5978?

We will first find the prime factorization of 5972 and 5978. After we will calculate the factors of 5972 and 5978 and find the biggest common factor number .

Step-1: Prime Factorization of 5972

Prime factors of 5972 are 2, 1493. Prime factorization of 5972 in exponential form is:

5972 = 2² × 1493¹

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 5972

List of positive integer factors of 5972 that divides 5972 without a remainder.

1, 2, 4, 1493, 2986

Step-4: Factors of 5978

List of positive integer factors of 5978 that divides 5972 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 5972 and 5978. The biggest common factor number is the GCF number.
So the greatest common factor 5972 and 5978 is 2.

Also check out the Least Common Multiple of 5972 and 5978