What is the Greatest Common Factor of 5985 and 6005?

Greatest common factor (GCF) of 5985 and 6005 is 5.

GCF(5985,6005) = 5

We will now calculate the prime factors of 5985 and 6005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5985 and 6005.

How to find the GCF of 5985 and 6005?

We will first find the prime factorization of 5985 and 6005. After we will calculate the factors of 5985 and 6005 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 6005

Prime factors of 6005 are 5, 1201. Prime factorization of 6005 in exponential form is:

6005 = 5¹ × 1201¹

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 6005

List of positive integer factors of 6005 that divides 5985 without a remainder.

1, 5, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5985 and 6005. The biggest common factor number is the GCF number.
So the greatest common factor 5985 and 6005 is 5.

Also check out the Least Common Multiple of 5985 and 6005