What is the Greatest Common Factor of 44377 and 44382?

Greatest common factor (GCF) of 44377 and 44382 is 1.

GCF(44377,44382) = 1

We will now calculate the prime factors of 44377 and 44382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44377 and 44382.

How to find the GCF of 44377 and 44382?

We will first find the prime factorization of 44377 and 44382. After we will calculate the factors of 44377 and 44382 and find the biggest common factor number .

Step-1: Prime Factorization of 44377

Prime factors of 44377 are 199, 223. Prime factorization of 44377 in exponential form is:

44377 = 199¹ × 223¹

Step-2: 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-3: Factors of 44377

List of positive integer factors of 44377 that divides 44377 without a remainder.

1, 199, 223

Step-4: Factors of 44382

List of positive integer factors of 44382 that divides 44377 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44377 and 44382. The biggest common factor number is the GCF number.
So the greatest common factor 44377 and 44382 is 1.

Also check out the Least Common Multiple of 44377 and 44382