What is the Greatest Common Factor of 44316 and 44334?

Greatest common factor (GCF) of 44316 and 44334 is 18.

GCF(44316,44334) = 18

We will now calculate the prime factors of 44316 and 44334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44316 and 44334.

How to find the GCF of 44316 and 44334?

We will first find the prime factorization of 44316 and 44334. After we will calculate the factors of 44316 and 44334 and find the biggest common factor number .

Step-1: Prime Factorization of 44316

Prime factors of 44316 are 2, 3, 1231. Prime factorization of 44316 in exponential form is:

44316 = 2² × 3² × 1231¹

Step-2: 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-3: Factors of 44316

List of positive integer factors of 44316 that divides 44316 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1231, 2462, 3693, 4924, 7386, 11079, 14772, 22158

Step-4: Factors of 44334

List of positive integer factors of 44334 that divides 44316 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44316 and 44334. The biggest common factor number is the GCF number.
So the greatest common factor 44316 and 44334 is 18.

Also check out the Least Common Multiple of 44316 and 44334