What is the Greatest Common Factor of 66025 and 66041?

Greatest common factor (GCF) of 66025 and 66041 is 1.

GCF(66025,66041) = 1

We will now calculate the prime factors of 66025 and 66041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66025 and 66041.

How to find the GCF of 66025 and 66041?

We will first find the prime factorization of 66025 and 66041. After we will calculate the factors of 66025 and 66041 and find the biggest common factor number .

Step-1: Prime Factorization of 66025

Prime factors of 66025 are 5, 19, 139. Prime factorization of 66025 in exponential form is:

66025 = 5² × 19¹ × 139¹

Step-2: Prime Factorization of 66041

Prime factors of 66041 are 66041. Prime factorization of 66041 in exponential form is:

66041 = 66041¹

Step-3: Factors of 66025

List of positive integer factors of 66025 that divides 66025 without a remainder.

1, 5, 19, 25, 95, 139, 475, 695, 2641, 3475, 13205

Step-4: Factors of 66041

List of positive integer factors of 66041 that divides 66025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66025 and 66041. The biggest common factor number is the GCF number.
So the greatest common factor 66025 and 66041 is 1.

Also check out the Least Common Multiple of 66025 and 66041