What is the Greatest Common Factor of 44328 and 44340?

Greatest common factor (GCF) of 44328 and 44340 is 12.

GCF(44328,44340) = 12

We will now calculate the prime factors of 44328 and 44340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44328 and 44340.

How to find the GCF of 44328 and 44340?

We will first find the prime factorization of 44328 and 44340. After we will calculate the factors of 44328 and 44340 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 44340

Prime factors of 44340 are 2, 3, 5, 739. Prime factorization of 44340 in exponential form is:

44340 = 2² × 3¹ × 5¹ × 739¹

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 44340

List of positive integer factors of 44340 that divides 44328 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 739, 1478, 2217, 2956, 3695, 4434, 7390, 8868, 11085, 14780, 22170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44328 and 44340. The biggest common factor number is the GCF number.
So the greatest common factor 44328 and 44340 is 12.

Also check out the Least Common Multiple of 44328 and 44340