What is the Greatest Common Factor of 44381 and 44400?

Greatest common factor (GCF) of 44381 and 44400 is 1.

GCF(44381,44400) = 1

We will now calculate the prime factors of 44381 and 44400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44381 and 44400.

How to find the GCF of 44381 and 44400?

We will first find the prime factorization of 44381 and 44400. After we will calculate the factors of 44381 and 44400 and find the biggest common factor number .

Step-1: Prime Factorization of 44381

Prime factors of 44381 are 44381. Prime factorization of 44381 in exponential form is:

44381 = 44381¹

Step-2: Prime Factorization of 44400

Prime factors of 44400 are 2, 3, 5, 37. Prime factorization of 44400 in exponential form is:

44400 = 2⁴ × 3¹ × 5² × 37¹

Step-3: Factors of 44381

List of positive integer factors of 44381 that divides 44381 without a remainder.

Step-4: Factors of 44400

List of positive integer factors of 44400 that divides 44381 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 37, 40, 48, 50, 60, 74, 75, 80, 100, 111, 120, 148, 150, 185, 200, 222, 240, 296, 300, 370, 400, 444, 555, 592, 600, 740, 888, 925, 1110, 1200, 1480, 1776, 1850, 2220, 2775, 2960, 3700, 4440, 5550, 7400, 8880, 11100, 14800, 22200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44381 and 44400. The biggest common factor number is the GCF number.
So the greatest common factor 44381 and 44400 is 1.

Also check out the Least Common Multiple of 44381 and 44400