What is the Greatest Common Factor of 44025 and 44040?

Greatest common factor (GCF) of 44025 and 44040 is 15.

GCF(44025,44040) = 15

We will now calculate the prime factors of 44025 and 44040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44025 and 44040.

How to find the GCF of 44025 and 44040?

We will first find the prime factorization of 44025 and 44040. After we will calculate the factors of 44025 and 44040 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 44040

Prime factors of 44040 are 2, 3, 5, 367. Prime factorization of 44040 in exponential form is:

44040 = 2³ × 3¹ × 5¹ × 367¹

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 44040

List of positive integer factors of 44040 that divides 44025 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 367, 734, 1101, 1468, 1835, 2202, 2936, 3670, 4404, 5505, 7340, 8808, 11010, 14680, 22020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44025 and 44040. The biggest common factor number is the GCF number.
So the greatest common factor 44025 and 44040 is 15.

Also check out the Least Common Multiple of 44025 and 44040