What is the Greatest Common Factor of 51025 and 51037?

Greatest common factor (GCF) of 51025 and 51037 is 1.

GCF(51025,51037) = 1

We will now calculate the prime factors of 51025 and 51037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51025 and 51037.

How to find the GCF of 51025 and 51037?

We will first find the prime factorization of 51025 and 51037. After we will calculate the factors of 51025 and 51037 and find the biggest common factor number .

Step-1: Prime Factorization of 51025

Prime factors of 51025 are 5, 13, 157. Prime factorization of 51025 in exponential form is:

51025 = 5² × 13¹ × 157¹

Step-2: Prime Factorization of 51037

Prime factors of 51037 are 7, 23, 317. Prime factorization of 51037 in exponential form is:

51037 = 7¹ × 23¹ × 317¹

Step-3: Factors of 51025

List of positive integer factors of 51025 that divides 51025 without a remainder.

1, 5, 13, 25, 65, 157, 325, 785, 2041, 3925, 10205

Step-4: Factors of 51037

List of positive integer factors of 51037 that divides 51025 without a remainder.

1, 7, 23, 161, 317, 2219, 7291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51025 and 51037. The biggest common factor number is the GCF number.
So the greatest common factor 51025 and 51037 is 1.

Also check out the Least Common Multiple of 51025 and 51037