What is the Greatest Common Factor of 39424 and 39443?

Greatest common factor (GCF) of 39424 and 39443 is 1.

GCF(39424,39443) = 1

We will now calculate the prime factors of 39424 and 39443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39424 and 39443.

How to find the GCF of 39424 and 39443?

We will first find the prime factorization of 39424 and 39443. After we will calculate the factors of 39424 and 39443 and find the biggest common factor number .

Step-1: Prime Factorization of 39424

Prime factors of 39424 are 2, 7, 11. Prime factorization of 39424 in exponential form is:

39424 = 2⁹ × 7¹ × 11¹

Step-2: Prime Factorization of 39443

Prime factors of 39443 are 39443. Prime factorization of 39443 in exponential form is:

39443 = 39443¹

Step-3: Factors of 39424

List of positive integer factors of 39424 that divides 39424 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 256, 308, 352, 448, 512, 616, 704, 896, 1232, 1408, 1792, 2464, 2816, 3584, 4928, 5632, 9856, 19712

Step-4: Factors of 39443

List of positive integer factors of 39443 that divides 39424 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39424 and 39443. The biggest common factor number is the GCF number.
So the greatest common factor 39424 and 39443 is 1.

Also check out the Least Common Multiple of 39424 and 39443