What is the Greatest Common Factor of 44025 and 44045?

Greatest common factor (GCF) of 44025 and 44045 is 5.

GCF(44025,44045) = 5

We will now calculate the prime factors of 44025 and 44045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44025 and 44045.

How to find the GCF of 44025 and 44045?

We will first find the prime factorization of 44025 and 44045. After we will calculate the factors of 44025 and 44045 and find the biggest common factor number .

Step-1: Prime Factorization of 44025

Prime factors of 44025 are 3, 5, 587. Prime factorization of 44025 in exponential form is:

44025 = 3¹ × 5² × 587¹

Step-2: Prime Factorization of 44045

Prime factors of 44045 are 5, 23, 383. Prime factorization of 44045 in exponential form is:

44045 = 5¹ × 23¹ × 383¹

Step-3: Factors of 44025

List of positive integer factors of 44025 that divides 44025 without a remainder.

1, 3, 5, 15, 25, 75, 587, 1761, 2935, 8805, 14675

Step-4: Factors of 44045

List of positive integer factors of 44045 that divides 44025 without a remainder.

1, 5, 23, 115, 383, 1915, 8809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44025 and 44045. The biggest common factor number is the GCF number.
So the greatest common factor 44025 and 44045 is 5.

Also check out the Least Common Multiple of 44025 and 44045