What is the Greatest Common Factor of 6005 and 6025?

Greatest common factor (GCF) of 6005 and 6025 is 5.

GCF(6005,6025) = 5

We will now calculate the prime factors of 6005 and 6025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6005 and 6025.

How to find the GCF of 6005 and 6025?

We will first find the prime factorization of 6005 and 6025. After we will calculate the factors of 6005 and 6025 and find the biggest common factor number .

Step-1: Prime Factorization of 6005

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

6005 = 5¹ × 1201¹

Step-2: Prime Factorization of 6025

Prime factors of 6025 are 5, 241. Prime factorization of 6025 in exponential form is:

6025 = 5² × 241¹

Step-3: Factors of 6005

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

1, 5, 1201

Step-4: Factors of 6025

List of positive integer factors of 6025 that divides 6005 without a remainder.

1, 5, 25, 241, 1205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6005 and 6025. The biggest common factor number is the GCF number.
So the greatest common factor 6005 and 6025 is 5.

Also check out the Least Common Multiple of 6005 and 6025