What is the Greatest Common Factor of 5989 and 5994?

Greatest common factor (GCF) of 5989 and 5994 is 1.

GCF(5989,5994) = 1

We will now calculate the prime factors of 5989 and 5994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5989 and 5994.

How to find the GCF of 5989 and 5994?

We will first find the prime factorization of 5989 and 5994. After we will calculate the factors of 5989 and 5994 and find the biggest common factor number .

Step-1: Prime Factorization of 5989

Prime factors of 5989 are 53, 113. Prime factorization of 5989 in exponential form is:

5989 = 53¹ × 113¹

Step-2: Prime Factorization of 5994

Prime factors of 5994 are 2, 3, 37. Prime factorization of 5994 in exponential form is:

5994 = 2¹ × 3⁴ × 37¹

Step-3: Factors of 5989

List of positive integer factors of 5989 that divides 5989 without a remainder.

1, 53, 113

Step-4: Factors of 5994

List of positive integer factors of 5994 that divides 5989 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5989 and 5994. The biggest common factor number is the GCF number.
So the greatest common factor 5989 and 5994 is 1.

Also check out the Least Common Multiple of 5989 and 5994