What is the Greatest Common Factor of 5986 and 5997?

Greatest common factor (GCF) of 5986 and 5997 is 1.

GCF(5986,5997) = 1

We will now calculate the prime factors of 5986 and 5997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5986 and 5997.

How to find the GCF of 5986 and 5997?

We will first find the prime factorization of 5986 and 5997. After we will calculate the factors of 5986 and 5997 and find the biggest common factor number .

Step-1: Prime Factorization of 5986

Prime factors of 5986 are 2, 41, 73. Prime factorization of 5986 in exponential form is:

5986 = 2¹ × 41¹ × 73¹

Step-2: Prime Factorization of 5997

Prime factors of 5997 are 3, 1999. Prime factorization of 5997 in exponential form is:

5997 = 3¹ × 1999¹

Step-3: Factors of 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1, 2, 41, 73, 82, 146, 2993

Step-4: Factors of 5997

List of positive integer factors of 5997 that divides 5986 without a remainder.

1, 3, 1999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5986 and 5997. The biggest common factor number is the GCF number.
So the greatest common factor 5986 and 5997 is 1.

Also check out the Least Common Multiple of 5986 and 5997