What is the Greatest Common Factor of 44361 and 44373?

Greatest common factor (GCF) of 44361 and 44373 is 3.

GCF(44361,44373) = 3

We will now calculate the prime factors of 44361 and 44373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44361 and 44373.

How to find the GCF of 44361 and 44373?

We will first find the prime factorization of 44361 and 44373. After we will calculate the factors of 44361 and 44373 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 44373

Prime factors of 44373 are 3, 7, 2113. Prime factorization of 44373 in exponential form is:

44373 = 3¹ × 7¹ × 2113¹

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 44373

List of positive integer factors of 44373 that divides 44361 without a remainder.

1, 3, 7, 21, 2113, 6339, 14791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44361 and 44373. The biggest common factor number is the GCF number.
So the greatest common factor 44361 and 44373 is 3.

Also check out the Least Common Multiple of 44361 and 44373