What is the Greatest Common Factor of 9025 and 9040?

Greatest common factor (GCF) of 9025 and 9040 is 5.

GCF(9025,9040) = 5

We will now calculate the prime factors of 9025 and 9040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9025 and 9040.

How to find the GCF of 9025 and 9040?

We will first find the prime factorization of 9025 and 9040. After we will calculate the factors of 9025 and 9040 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 9040

Prime factors of 9040 are 2, 5, 113. Prime factorization of 9040 in exponential form is:

9040 = 2⁴ × 5¹ × 113¹

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 9040

List of positive integer factors of 9040 that divides 9025 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9025 and 9040. The biggest common factor number is the GCF number.
So the greatest common factor 9025 and 9040 is 5.

Also check out the Least Common Multiple of 9025 and 9040