What is the Greatest Common Factor of 43712 and 43724?

Greatest common factor (GCF) of 43712 and 43724 is 4.

GCF(43712,43724) = 4

We will now calculate the prime factors of 43712 and 43724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43712 and 43724.

How to find the GCF of 43712 and 43724?

We will first find the prime factorization of 43712 and 43724. After we will calculate the factors of 43712 and 43724 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 43724

Prime factors of 43724 are 2, 17, 643. Prime factorization of 43724 in exponential form is:

43724 = 2² × 17¹ × 643¹

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 43724

List of positive integer factors of 43724 that divides 43712 without a remainder.

1, 2, 4, 17, 34, 68, 643, 1286, 2572, 10931, 21862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43712 and 43724. The biggest common factor number is the GCF number.
So the greatest common factor 43712 and 43724 is 4.

Also check out the Least Common Multiple of 43712 and 43724