What is the Greatest Common Factor of 21025 and 21037?

Greatest common factor (GCF) of 21025 and 21037 is 1.

GCF(21025,21037) = 1

We will now calculate the prime factors of 21025 and 21037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21025 and 21037.

How to find the GCF of 21025 and 21037?

We will first find the prime factorization of 21025 and 21037. After we will calculate the factors of 21025 and 21037 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 21037

Prime factors of 21037 are 109, 193. Prime factorization of 21037 in exponential form is:

21037 = 109¹ × 193¹

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 21037

List of positive integer factors of 21037 that divides 21025 without a remainder.

1, 109, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21025 and 21037. The biggest common factor number is the GCF number.
So the greatest common factor 21025 and 21037 is 1.

Also check out the Least Common Multiple of 21025 and 21037