What is the Greatest Common Factor of 44361 and 44379?

Greatest common factor (GCF) of 44361 and 44379 is 9.

GCF(44361,44379) = 9

We will now calculate the prime factors of 44361 and 44379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44361 and 44379.

How to find the GCF of 44361 and 44379?

We will first find the prime factorization of 44361 and 44379. After we will calculate the factors of 44361 and 44379 and find the biggest common factor number .

Step-1: Prime Factorization of 44361

Prime factors of 44361 are 3, 31, 53. Prime factorization of 44361 in exponential form is:

44361 = 3³ × 31¹ × 53¹

Step-2: Prime Factorization of 44379

Prime factors of 44379 are 3, 4931. Prime factorization of 44379 in exponential form is:

44379 = 3² × 4931¹

Step-3: Factors of 44361

List of positive integer factors of 44361 that divides 44361 without a remainder.

1, 3, 9, 27, 31, 53, 93, 159, 279, 477, 837, 1431, 1643, 4929, 14787

Step-4: Factors of 44379

List of positive integer factors of 44379 that divides 44361 without a remainder.

1, 3, 9, 4931, 14793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44361 and 44379. The biggest common factor number is the GCF number.
So the greatest common factor 44361 and 44379 is 9.

Also check out the Least Common Multiple of 44361 and 44379