What is the Greatest Common Factor of 6025 and 6041?

Greatest common factor (GCF) of 6025 and 6041 is 1.

GCF(6025,6041) = 1

We will now calculate the prime factors of 6025 and 6041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6025 and 6041.

How to find the GCF of 6025 and 6041?

We will first find the prime factorization of 6025 and 6041. After we will calculate the factors of 6025 and 6041 and find the biggest common factor number .

Step-1: Prime Factorization of 6025

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

6025 = 5² × 241¹

Step-2: Prime Factorization of 6041

Prime factors of 6041 are 7, 863. Prime factorization of 6041 in exponential form is:

6041 = 7¹ × 863¹

Step-3: Factors of 6025

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

1, 5, 25, 241, 1205

Step-4: Factors of 6041

List of positive integer factors of 6041 that divides 6025 without a remainder.

1, 7, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6025 and 6041. The biggest common factor number is the GCF number.
So the greatest common factor 6025 and 6041 is 1.

Also check out the Least Common Multiple of 6025 and 6041