What is the Greatest Common Factor of 5972 and 5990?

Greatest common factor (GCF) of 5972 and 5990 is 2.

GCF(5972,5990) = 2

We will now calculate the prime factors of 5972 and 5990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5972 and 5990.

How to find the GCF of 5972 and 5990?

We will first find the prime factorization of 5972 and 5990. After we will calculate the factors of 5972 and 5990 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 5990

Prime factors of 5990 are 2, 5, 599. Prime factorization of 5990 in exponential form is:

5990 = 2¹ × 5¹ × 599¹

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 5990

List of positive integer factors of 5990 that divides 5972 without a remainder.

1, 2, 5, 10, 599, 1198, 2995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5972 and 5990. The biggest common factor number is the GCF number.
So the greatest common factor 5972 and 5990 is 2.

Also check out the Least Common Multiple of 5972 and 5990