What is the Greatest Common Factor of 44060 and 44075?

Greatest common factor (GCF) of 44060 and 44075 is 5.

GCF(44060,44075) = 5

We will now calculate the prime factors of 44060 and 44075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44060 and 44075.

How to find the GCF of 44060 and 44075?

We will first find the prime factorization of 44060 and 44075. After we will calculate the factors of 44060 and 44075 and find the biggest common factor number .

Step-1: Prime Factorization of 44060

Prime factors of 44060 are 2, 5, 2203. Prime factorization of 44060 in exponential form is:

44060 = 2² × 5¹ × 2203¹

Step-2: Prime Factorization of 44075

Prime factors of 44075 are 5, 41, 43. Prime factorization of 44075 in exponential form is:

44075 = 5² × 41¹ × 43¹

Step-3: Factors of 44060

List of positive integer factors of 44060 that divides 44060 without a remainder.

1, 2, 4, 5, 10, 20, 2203, 4406, 8812, 11015, 22030

Step-4: Factors of 44075

List of positive integer factors of 44075 that divides 44060 without a remainder.

1, 5, 25, 41, 43, 205, 215, 1025, 1075, 1763, 8815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44060 and 44075. The biggest common factor number is the GCF number.
So the greatest common factor 44060 and 44075 is 5.

Also check out the Least Common Multiple of 44060 and 44075