What is the Greatest Common Factor of 44355 and 44361?

Greatest common factor (GCF) of 44355 and 44361 is 3.

GCF(44355,44361) = 3

We will now calculate the prime factors of 44355 and 44361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44355 and 44361.

How to find the GCF of 44355 and 44361?

We will first find the prime factorization of 44355 and 44361. After we will calculate the factors of 44355 and 44361 and find the biggest common factor number .

Step-1: Prime Factorization of 44355

Prime factors of 44355 are 3, 5, 2957. Prime factorization of 44355 in exponential form is:

44355 = 3¹ × 5¹ × 2957¹

Step-2: 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-3: Factors of 44355

List of positive integer factors of 44355 that divides 44355 without a remainder.

1, 3, 5, 15, 2957, 8871, 14785

Step-4: Factors of 44361

List of positive integer factors of 44361 that divides 44355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44355 and 44361. The biggest common factor number is the GCF number.
So the greatest common factor 44355 and 44361 is 3.

Also check out the Least Common Multiple of 44355 and 44361