What is the Greatest Common Factor of 43712 and 43728?

Greatest common factor (GCF) of 43712 and 43728 is 16.

GCF(43712,43728) = 16

We will now calculate the prime factors of 43712 and 43728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43712 and 43728.

How to find the GCF of 43712 and 43728?

We will first find the prime factorization of 43712 and 43728. After we will calculate the factors of 43712 and 43728 and find the biggest common factor number .

Step-1: Prime Factorization of 43712

Prime factors of 43712 are 2, 683. Prime factorization of 43712 in exponential form is:

43712 = 2⁶ × 683¹

Step-2: 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-3: Factors of 43712

List of positive integer factors of 43712 that divides 43712 without a remainder.

1, 2, 4, 8, 16, 32, 64, 683, 1366, 2732, 5464, 10928, 21856

Step-4: Factors of 43728

List of positive integer factors of 43728 that divides 43712 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43712 and 43728. The biggest common factor number is the GCF number.
So the greatest common factor 43712 and 43728 is 16.

Also check out the Least Common Multiple of 43712 and 43728