What is the Greatest Common Factor of 5986 and 6002?

Greatest common factor (GCF) of 5986 and 6002 is 2.

GCF(5986,6002) = 2

We will now calculate the prime factors of 5986 and 6002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5986 and 6002.

How to find the GCF of 5986 and 6002?

We will first find the prime factorization of 5986 and 6002. After we will calculate the factors of 5986 and 6002 and find the biggest common factor number .

Step-1: Prime Factorization of 5986

Prime factors of 5986 are 2, 41, 73. Prime factorization of 5986 in exponential form is:

5986 = 2¹ × 41¹ × 73¹

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 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1, 2, 41, 73, 82, 146, 2993

Step-4: Factors of 6002

List of positive integer factors of 6002 that divides 5986 without a remainder.

1, 2, 3001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5986 and 6002. The biggest common factor number is the GCF number.
So the greatest common factor 5986 and 6002 is 2.

Also check out the Least Common Multiple of 5986 and 6002