What is the Greatest Common Factor of 44343 and 44349?

Greatest common factor (GCF) of 44343 and 44349 is 3.

GCF(44343,44349) = 3

We will now calculate the prime factors of 44343 and 44349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44343 and 44349.

How to find the GCF of 44343 and 44349?

We will first find the prime factorization of 44343 and 44349. After we will calculate the factors of 44343 and 44349 and find the biggest common factor number .

Step-1: Prime Factorization of 44343

Prime factors of 44343 are 3, 13, 379. Prime factorization of 44343 in exponential form is:

44343 = 3² × 13¹ × 379¹

Step-2: Prime Factorization of 44349

Prime factors of 44349 are 3, 14783. Prime factorization of 44349 in exponential form is:

44349 = 3¹ × 14783¹

Step-3: Factors of 44343

List of positive integer factors of 44343 that divides 44343 without a remainder.

1, 3, 9, 13, 39, 117, 379, 1137, 3411, 4927, 14781

Step-4: Factors of 44349

List of positive integer factors of 44349 that divides 44343 without a remainder.

1, 3, 14783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44343 and 44349. The biggest common factor number is the GCF number.
So the greatest common factor 44343 and 44349 is 3.

Also check out the Least Common Multiple of 44343 and 44349