What is the Greatest Common Factor of 44005 and 44025?

Greatest common factor (GCF) of 44005 and 44025 is 5.

GCF(44005,44025) = 5

We will now calculate the prime factors of 44005 and 44025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44005 and 44025.

How to find the GCF of 44005 and 44025?

We will first find the prime factorization of 44005 and 44025. After we will calculate the factors of 44005 and 44025 and find the biggest common factor number .

Step-1: Prime Factorization of 44005

Prime factors of 44005 are 5, 13, 677. Prime factorization of 44005 in exponential form is:

44005 = 5¹ × 13¹ × 677¹

Step-2: 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-3: Factors of 44005

List of positive integer factors of 44005 that divides 44005 without a remainder.

1, 5, 13, 65, 677, 3385, 8801

Step-4: Factors of 44025

List of positive integer factors of 44025 that divides 44005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44005 and 44025. The biggest common factor number is the GCF number.
So the greatest common factor 44005 and 44025 is 5.

Also check out the Least Common Multiple of 44005 and 44025