What is the Greatest Common Factor of 44334 and 44342?

Greatest common factor (GCF) of 44334 and 44342 is 2.

GCF(44334,44342) = 2

We will now calculate the prime factors of 44334 and 44342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44334 and 44342.

How to find the GCF of 44334 and 44342?

We will first find the prime factorization of 44334 and 44342. After we will calculate the factors of 44334 and 44342 and find the biggest common factor number .

Step-1: Prime Factorization of 44334

Prime factors of 44334 are 2, 3, 821. Prime factorization of 44334 in exponential form is:

44334 = 2¹ × 3³ × 821¹

Step-2: Prime Factorization of 44342

Prime factors of 44342 are 2, 22171. Prime factorization of 44342 in exponential form is:

44342 = 2¹ × 22171¹

Step-3: Factors of 44334

List of positive integer factors of 44334 that divides 44334 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 821, 1642, 2463, 4926, 7389, 14778, 22167

Step-4: Factors of 44342

List of positive integer factors of 44342 that divides 44334 without a remainder.

1, 2, 22171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44334 and 44342. The biggest common factor number is the GCF number.
So the greatest common factor 44334 and 44342 is 2.

Also check out the Least Common Multiple of 44334 and 44342