What is the Greatest Common Factor of 9025 and 9036?

Greatest common factor (GCF) of 9025 and 9036 is 1.

GCF(9025,9036) = 1

We will now calculate the prime factors of 9025 and 9036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9025 and 9036.

How to find the GCF of 9025 and 9036?

We will first find the prime factorization of 9025 and 9036. After we will calculate the factors of 9025 and 9036 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 9036

Prime factors of 9036 are 2, 3, 251. Prime factorization of 9036 in exponential form is:

9036 = 2² × 3² × 251¹

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 9036

List of positive integer factors of 9036 that divides 9025 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9025 and 9036. The biggest common factor number is the GCF number.
So the greatest common factor 9025 and 9036 is 1.

Also check out the Least Common Multiple of 9025 and 9036