What is the Greatest Common Factor of 44375 and 44389?

Greatest common factor (GCF) of 44375 and 44389 is 1.

GCF(44375,44389) = 1

We will now calculate the prime factors of 44375 and 44389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44375 and 44389.

How to find the GCF of 44375 and 44389?

We will first find the prime factorization of 44375 and 44389. After we will calculate the factors of 44375 and 44389 and find the biggest common factor number .

Step-1: Prime Factorization of 44375

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

44375 = 5⁴ × 71¹

Step-2: Prime Factorization of 44389

Prime factors of 44389 are 44389. Prime factorization of 44389 in exponential form is:

44389 = 44389¹

Step-3: Factors of 44375

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

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

Step-4: Factors of 44389

List of positive integer factors of 44389 that divides 44375 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44375 and 44389. The biggest common factor number is the GCF number.
So the greatest common factor 44375 and 44389 is 1.

Also check out the Least Common Multiple of 44375 and 44389