What is the Greatest Common Factor of 44349 and 44364?

Greatest common factor (GCF) of 44349 and 44364 is 3.

GCF(44349,44364) = 3

We will now calculate the prime factors of 44349 and 44364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44349 and 44364.

How to find the GCF of 44349 and 44364?

We will first find the prime factorization of 44349 and 44364. After we will calculate the factors of 44349 and 44364 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 44364

Prime factors of 44364 are 2, 3, 3697. Prime factorization of 44364 in exponential form is:

44364 = 2² × 3¹ × 3697¹

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 44364

List of positive integer factors of 44364 that divides 44349 without a remainder.

1, 2, 3, 4, 6, 12, 3697, 7394, 11091, 14788, 22182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44349 and 44364. The biggest common factor number is the GCF number.
So the greatest common factor 44349 and 44364 is 3.

Also check out the Least Common Multiple of 44349 and 44364