What is the Greatest Common Factor of 8025 and 8044?

Greatest common factor (GCF) of 8025 and 8044 is 1.

GCF(8025,8044) = 1

We will now calculate the prime factors of 8025 and 8044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8025 and 8044.

How to find the GCF of 8025 and 8044?

We will first find the prime factorization of 8025 and 8044. After we will calculate the factors of 8025 and 8044 and find the biggest common factor number .

Step-1: Prime Factorization of 8025

Prime factors of 8025 are 3, 5, 107. Prime factorization of 8025 in exponential form is:

8025 = 3¹ × 5² × 107¹

Step-2: Prime Factorization of 8044

Prime factors of 8044 are 2, 2011. Prime factorization of 8044 in exponential form is:

8044 = 2² × 2011¹

Step-3: Factors of 8025

List of positive integer factors of 8025 that divides 8025 without a remainder.

1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675

Step-4: Factors of 8044

List of positive integer factors of 8044 that divides 8025 without a remainder.

1, 2, 4, 2011, 4022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8025 and 8044. The biggest common factor number is the GCF number.
So the greatest common factor 8025 and 8044 is 1.

Also check out the Least Common Multiple of 8025 and 8044