What is the Greatest Common Factor of 44364 and 44381?

Greatest common factor (GCF) of 44364 and 44381 is 1.

GCF(44364,44381) = 1

We will now calculate the prime factors of 44364 and 44381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44364 and 44381.

How to find the GCF of 44364 and 44381?

We will first find the prime factorization of 44364 and 44381. After we will calculate the factors of 44364 and 44381 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44381

Prime factors of 44381 are 44381. Prime factorization of 44381 in exponential form is:

44381 = 44381¹

Step-3: Factors of 44364

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

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

Step-4: Factors of 44381

List of positive integer factors of 44381 that divides 44364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44364 and 44381. The biggest common factor number is the GCF number.
So the greatest common factor 44364 and 44381 is 1.

Also check out the Least Common Multiple of 44364 and 44381