What is the Greatest Common Factor of 44360 and 44375?

Greatest common factor (GCF) of 44360 and 44375 is 5.

GCF(44360,44375) = 5

We will now calculate the prime factors of 44360 and 44375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44360 and 44375.

How to find the GCF of 44360 and 44375?

We will first find the prime factorization of 44360 and 44375. After we will calculate the factors of 44360 and 44375 and find the biggest common factor number .

Step-1: Prime Factorization of 44360

Prime factors of 44360 are 2, 5, 1109. Prime factorization of 44360 in exponential form is:

44360 = 2³ × 5¹ × 1109¹

Step-2: Prime Factorization of 44375

Prime factors of 44375 are 5, 71. Prime factorization of 44375 in exponential form is:

44375 = 5⁴ × 71¹

Step-3: Factors of 44360

List of positive integer factors of 44360 that divides 44360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1109, 2218, 4436, 5545, 8872, 11090, 22180

Step-4: Factors of 44375

List of positive integer factors of 44375 that divides 44360 without a remainder.

1, 5, 25, 71, 125, 355, 625, 1775, 8875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44360 and 44375. The biggest common factor number is the GCF number.
So the greatest common factor 44360 and 44375 is 5.

Also check out the Least Common Multiple of 44360 and 44375