What is the Greatest Common Factor of 5982 and 5998?

Greatest common factor (GCF) of 5982 and 5998 is 2.

GCF(5982,5998) = 2

We will now calculate the prime factors of 5982 and 5998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5982 and 5998.

How to find the GCF of 5982 and 5998?

We will first find the prime factorization of 5982 and 5998. After we will calculate the factors of 5982 and 5998 and find the biggest common factor number .

Step-1: Prime Factorization of 5982

Prime factors of 5982 are 2, 3, 997. Prime factorization of 5982 in exponential form is:

5982 = 2¹ × 3¹ × 997¹

Step-2: Prime Factorization of 5998

Prime factors of 5998 are 2, 2999. Prime factorization of 5998 in exponential form is:

5998 = 2¹ × 2999¹

Step-3: Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1, 2, 3, 6, 997, 1994, 2991

Step-4: Factors of 5998

List of positive integer factors of 5998 that divides 5982 without a remainder.

1, 2, 2999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5982 and 5998. The biggest common factor number is the GCF number.
So the greatest common factor 5982 and 5998 is 2.

Also check out the Least Common Multiple of 5982 and 5998