What is the Greatest Common Factor of 42025 and 42041?

Greatest common factor (GCF) of 42025 and 42041 is 1.

GCF(42025,42041) = 1

We will now calculate the prime factors of 42025 and 42041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42025 and 42041.

How to find the GCF of 42025 and 42041?

We will first find the prime factorization of 42025 and 42041. After we will calculate the factors of 42025 and 42041 and find the biggest common factor number .

Step-1: Prime Factorization of 42025

Prime factors of 42025 are 5, 41. Prime factorization of 42025 in exponential form is:

42025 = 5² × 41²

Step-2: Prime Factorization of 42041

Prime factors of 42041 are 17, 2473. Prime factorization of 42041 in exponential form is:

42041 = 17¹ × 2473¹

Step-3: Factors of 42025

List of positive integer factors of 42025 that divides 42025 without a remainder.

1, 5, 25, 41, 205, 1025, 1681, 8405

Step-4: Factors of 42041

List of positive integer factors of 42041 that divides 42025 without a remainder.

1, 17, 2473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42025 and 42041. The biggest common factor number is the GCF number.
So the greatest common factor 42025 and 42041 is 1.

Also check out the Least Common Multiple of 42025 and 42041