What is the Greatest Common Factor of 43728 and 43744?

Greatest common factor (GCF) of 43728 and 43744 is 16.

GCF(43728,43744) = 16

We will now calculate the prime factors of 43728 and 43744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43728 and 43744.

How to find the GCF of 43728 and 43744?

We will first find the prime factorization of 43728 and 43744. After we will calculate the factors of 43728 and 43744 and find the biggest common factor number .

Step-1: Prime Factorization of 43728

Prime factors of 43728 are 2, 3, 911. Prime factorization of 43728 in exponential form is:

43728 = 2⁴ × 3¹ × 911¹

Step-2: Prime Factorization of 43744

Prime factors of 43744 are 2, 1367. Prime factorization of 43744 in exponential form is:

43744 = 2⁵ × 1367¹

Step-3: Factors of 43728

List of positive integer factors of 43728 that divides 43728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 911, 1822, 2733, 3644, 5466, 7288, 10932, 14576, 21864

Step-4: Factors of 43744

List of positive integer factors of 43744 that divides 43728 without a remainder.

1, 2, 4, 8, 16, 32, 1367, 2734, 5468, 10936, 21872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43728 and 43744. The biggest common factor number is the GCF number.
So the greatest common factor 43728 and 43744 is 16.

Also check out the Least Common Multiple of 43728 and 43744