What is the Greatest Common Factor of 9025 and 9037?

Greatest common factor (GCF) of 9025 and 9037 is 1.

GCF(9025,9037) = 1

We will now calculate the prime factors of 9025 and 9037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9025 and 9037.

How to find the GCF of 9025 and 9037?

We will first find the prime factorization of 9025 and 9037. After we will calculate the factors of 9025 and 9037 and find the biggest common factor number .

Step-1: Prime Factorization of 9025

Prime factors of 9025 are 5, 19. Prime factorization of 9025 in exponential form is:

9025 = 5² × 19²

Step-2: Prime Factorization of 9037

Prime factors of 9037 are 7, 1291. Prime factorization of 9037 in exponential form is:

9037 = 7¹ × 1291¹

Step-3: Factors of 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1, 5, 19, 25, 95, 361, 475, 1805

Step-4: Factors of 9037

List of positive integer factors of 9037 that divides 9025 without a remainder.

1, 7, 1291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9025 and 9037. The biggest common factor number is the GCF number.
So the greatest common factor 9025 and 9037 is 1.

Also check out the Least Common Multiple of 9025 and 9037