What is the Greatest Common Factor of 44382 and 44390?

Greatest common factor (GCF) of 44382 and 44390 is 2.

GCF(44382,44390) = 2

We will now calculate the prime factors of 44382 and 44390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44382 and 44390.

How to find the GCF of 44382 and 44390?

We will first find the prime factorization of 44382 and 44390. After we will calculate the factors of 44382 and 44390 and find the biggest common factor number .

Step-1: Prime Factorization of 44382

Prime factors of 44382 are 2, 3, 13, 569. Prime factorization of 44382 in exponential form is:

44382 = 2¹ × 3¹ × 13¹ × 569¹

Step-2: Prime Factorization of 44390

Prime factors of 44390 are 2, 5, 23, 193. Prime factorization of 44390 in exponential form is:

44390 = 2¹ × 5¹ × 23¹ × 193¹

Step-3: Factors of 44382

List of positive integer factors of 44382 that divides 44382 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 569, 1138, 1707, 3414, 7397, 14794, 22191

Step-4: Factors of 44390

List of positive integer factors of 44390 that divides 44382 without a remainder.

1, 2, 5, 10, 23, 46, 115, 193, 230, 386, 965, 1930, 4439, 8878, 22195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44382 and 44390. The biggest common factor number is the GCF number.
So the greatest common factor 44382 and 44390 is 2.

Also check out the Least Common Multiple of 44382 and 44390