What is the Greatest Common Factor of 44349 and 44367?

Greatest common factor (GCF) of 44349 and 44367 is 3.

GCF(44349,44367) = 3

We will now calculate the prime factors of 44349 and 44367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44349 and 44367.

How to find the GCF of 44349 and 44367?

We will first find the prime factorization of 44349 and 44367. After we will calculate the factors of 44349 and 44367 and find the biggest common factor number .

Step-1: Prime Factorization of 44349

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

44349 = 3¹ × 14783¹

Step-2: Prime Factorization of 44367

Prime factors of 44367 are 3, 23, 643. Prime factorization of 44367 in exponential form is:

44367 = 3¹ × 23¹ × 643¹

Step-3: Factors of 44349

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

1, 3, 14783

Step-4: Factors of 44367

List of positive integer factors of 44367 that divides 44349 without a remainder.

1, 3, 23, 69, 643, 1929, 14789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44349 and 44367. The biggest common factor number is the GCF number.
So the greatest common factor 44349 and 44367 is 3.

Also check out the Least Common Multiple of 44349 and 44367