What is the Greatest Common Factor of 5985 and 5991?

Greatest common factor (GCF) of 5985 and 5991 is 3.

GCF(5985,5991) = 3

We will now calculate the prime factors of 5985 and 5991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5985 and 5991.

How to find the GCF of 5985 and 5991?

We will first find the prime factorization of 5985 and 5991. After we will calculate the factors of 5985 and 5991 and find the biggest common factor number .

Step-1: Prime Factorization of 5985

Prime factors of 5985 are 3, 5, 7, 19. Prime factorization of 5985 in exponential form is:

5985 = 3² × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 5991

Prime factors of 5991 are 3, 1997. Prime factorization of 5991 in exponential form is:

5991 = 3¹ × 1997¹

Step-3: Factors of 5985

List of positive integer factors of 5985 that divides 5985 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995

Step-4: Factors of 5991

List of positive integer factors of 5991 that divides 5985 without a remainder.

1, 3, 1997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5985 and 5991. The biggest common factor number is the GCF number.
So the greatest common factor 5985 and 5991 is 3.

Also check out the Least Common Multiple of 5985 and 5991