What is the Greatest Common Factor of 21025 and 21041?

Greatest common factor (GCF) of 21025 and 21041 is 1.

GCF(21025,21041) = 1

We will now calculate the prime factors of 21025 and 21041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21025 and 21041.

How to find the GCF of 21025 and 21041?

We will first find the prime factorization of 21025 and 21041. After we will calculate the factors of 21025 and 21041 and find the biggest common factor number .

Step-1: Prime Factorization of 21025

Prime factors of 21025 are 5, 29. Prime factorization of 21025 in exponential form is:

21025 = 5² × 29²

Step-2: Prime Factorization of 21041

Prime factors of 21041 are 53, 397. Prime factorization of 21041 in exponential form is:

21041 = 53¹ × 397¹

Step-3: Factors of 21025

List of positive integer factors of 21025 that divides 21025 without a remainder.

1, 5, 25, 29, 145, 725, 841, 4205

Step-4: Factors of 21041

List of positive integer factors of 21041 that divides 21025 without a remainder.

1, 53, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21025 and 21041. The biggest common factor number is the GCF number.
So the greatest common factor 21025 and 21041 is 1.

Also check out the Least Common Multiple of 21025 and 21041