What is the Greatest Common Factor of 43728 and 43746?

Greatest common factor (GCF) of 43728 and 43746 is 6.

GCF(43728,43746) = 6

We will now calculate the prime factors of 43728 and 43746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43728 and 43746.

How to find the GCF of 43728 and 43746?

We will first find the prime factorization of 43728 and 43746. After we will calculate the factors of 43728 and 43746 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 43746

Prime factors of 43746 are 2, 3, 23, 317. Prime factorization of 43746 in exponential form is:

43746 = 2¹ × 3¹ × 23¹ × 317¹

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 43746

List of positive integer factors of 43746 that divides 43728 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 317, 634, 951, 1902, 7291, 14582, 21873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43728 and 43746. The biggest common factor number is the GCF number.
So the greatest common factor 43728 and 43746 is 6.

Also check out the Least Common Multiple of 43728 and 43746