What is the Greatest Common Factor of 5997 and 6010?

Greatest common factor (GCF) of 5997 and 6010 is 1.

GCF(5997,6010) = 1

We will now calculate the prime factors of 5997 and 6010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5997 and 6010.

How to find the GCF of 5997 and 6010?

We will first find the prime factorization of 5997 and 6010. After we will calculate the factors of 5997 and 6010 and find the biggest common factor number .

Step-1: Prime Factorization of 5997

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

5997 = 3¹ × 1999¹

Step-2: Prime Factorization of 6010

Prime factors of 6010 are 2, 5, 601. Prime factorization of 6010 in exponential form is:

6010 = 2¹ × 5¹ × 601¹

Step-3: Factors of 5997

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

1, 3, 1999

Step-4: Factors of 6010

List of positive integer factors of 6010 that divides 5997 without a remainder.

1, 2, 5, 10, 601, 1202, 3005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5997 and 6010. The biggest common factor number is the GCF number.
So the greatest common factor 5997 and 6010 is 1.

Also check out the Least Common Multiple of 5997 and 6010