What is the Greatest Common Factor of 43708 and 43724?

Greatest common factor (GCF) of 43708 and 43724 is 4.

GCF(43708,43724) = 4

We will now calculate the prime factors of 43708 and 43724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43708 and 43724.

How to find the GCF of 43708 and 43724?

We will first find the prime factorization of 43708 and 43724. After we will calculate the factors of 43708 and 43724 and find the biggest common factor number .

Step-1: Prime Factorization of 43708

Prime factors of 43708 are 2, 7, 223. Prime factorization of 43708 in exponential form is:

43708 = 2² × 7² × 223¹

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 43708

List of positive integer factors of 43708 that divides 43708 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 223, 446, 892, 1561, 3122, 6244, 10927, 21854

Step-4: Factors of 43724

List of positive integer factors of 43724 that divides 43708 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 43708 and 43724. The biggest common factor number is the GCF number.
So the greatest common factor 43708 and 43724 is 4.

Also check out the Least Common Multiple of 43708 and 43724