What is the Greatest Common Factor of 9025 and 9044?

Greatest common factor (GCF) of 9025 and 9044 is 19.

GCF(9025,9044) = 19

We will now calculate the prime factors of 9025 and 9044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9025 and 9044.

How to find the GCF of 9025 and 9044?

We will first find the prime factorization of 9025 and 9044. After we will calculate the factors of 9025 and 9044 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 9044

Prime factors of 9044 are 2, 7, 17, 19. Prime factorization of 9044 in exponential form is:

9044 = 2² × 7¹ × 17¹ × 19¹

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 9044

List of positive integer factors of 9044 that divides 9025 without a remainder.

1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9025 and 9044. The biggest common factor number is the GCF number.
So the greatest common factor 9025 and 9044 is 19.

Also check out the Least Common Multiple of 9025 and 9044