What is the Greatest Common Factor of 44328 and 44346?

Greatest common factor (GCF) of 44328 and 44346 is 6.

GCF(44328,44346) = 6

We will now calculate the prime factors of 44328 and 44346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44328 and 44346.

How to find the GCF of 44328 and 44346?

We will first find the prime factorization of 44328 and 44346. After we will calculate the factors of 44328 and 44346 and find the biggest common factor number .

Step-1: Prime Factorization of 44328

Prime factors of 44328 are 2, 3, 1847. Prime factorization of 44328 in exponential form is:

44328 = 2³ × 3¹ × 1847¹

Step-2: Prime Factorization of 44346

Prime factors of 44346 are 2, 3, 19, 389. Prime factorization of 44346 in exponential form is:

44346 = 2¹ × 3¹ × 19¹ × 389¹

Step-3: Factors of 44328

List of positive integer factors of 44328 that divides 44328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1847, 3694, 5541, 7388, 11082, 14776, 22164

Step-4: Factors of 44346

List of positive integer factors of 44346 that divides 44328 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 389, 778, 1167, 2334, 7391, 14782, 22173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44328 and 44346. The biggest common factor number is the GCF number.
So the greatest common factor 44328 and 44346 is 6.

Also check out the Least Common Multiple of 44328 and 44346