What is the Greatest Common Factor of 5991 and 6002?

Greatest common factor (GCF) of 5991 and 6002 is 1.

GCF(5991,6002) = 1

We will now calculate the prime factors of 5991 and 6002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5991 and 6002.

How to find the GCF of 5991 and 6002?

We will first find the prime factorization of 5991 and 6002. After we will calculate the factors of 5991 and 6002 and find the biggest common factor number .

Step-1: Prime Factorization of 5991

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

5991 = 3¹ × 1997¹

Step-2: Prime Factorization of 6002

Prime factors of 6002 are 2, 3001. Prime factorization of 6002 in exponential form is:

6002 = 2¹ × 3001¹

Step-3: Factors of 5991

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

1, 3, 1997

Step-4: Factors of 6002

List of positive integer factors of 6002 that divides 5991 without a remainder.

1, 2, 3001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5991 and 6002. The biggest common factor number is the GCF number.
So the greatest common factor 5991 and 6002 is 1.

Also check out the Least Common Multiple of 5991 and 6002