What is the Greatest Common Factor of 9005 and 9025?

Greatest common factor (GCF) of 9005 and 9025 is 5.

GCF(9005,9025) = 5

We will now calculate the prime factors of 9005 and 9025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9005 and 9025.

How to find the GCF of 9005 and 9025?

We will first find the prime factorization of 9005 and 9025. After we will calculate the factors of 9005 and 9025 and find the biggest common factor number .

Step-1: Prime Factorization of 9005

Prime factors of 9005 are 5, 1801. Prime factorization of 9005 in exponential form is:

9005 = 5¹ × 1801¹

Step-2: Prime Factorization of 9025

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

9025 = 5² × 19²

Step-3: Factors of 9005

List of positive integer factors of 9005 that divides 9005 without a remainder.

1, 5, 1801

Step-4: Factors of 9025

List of positive integer factors of 9025 that divides 9005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9005 and 9025. The biggest common factor number is the GCF number.
So the greatest common factor 9005 and 9025 is 5.

Also check out the Least Common Multiple of 9005 and 9025