What is the Greatest Common Factor of 43424 and 43439?

Greatest common factor (GCF) of 43424 and 43439 is 1.

GCF(43424,43439) = 1

We will now calculate the prime factors of 43424 and 43439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43424 and 43439.

How to find the GCF of 43424 and 43439?

We will first find the prime factorization of 43424 and 43439. After we will calculate the factors of 43424 and 43439 and find the biggest common factor number .

Step-1: Prime Factorization of 43424

Prime factors of 43424 are 2, 23, 59. Prime factorization of 43424 in exponential form is:

43424 = 2⁵ × 23¹ × 59¹

Step-2: Prime Factorization of 43439

Prime factors of 43439 are 11, 359. Prime factorization of 43439 in exponential form is:

43439 = 11² × 359¹

Step-3: Factors of 43424

List of positive integer factors of 43424 that divides 43424 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 59, 92, 118, 184, 236, 368, 472, 736, 944, 1357, 1888, 2714, 5428, 10856, 21712

Step-4: Factors of 43439

List of positive integer factors of 43439 that divides 43424 without a remainder.

1, 11, 121, 359, 3949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43424 and 43439. The biggest common factor number is the GCF number.
So the greatest common factor 43424 and 43439 is 1.

Also check out the Least Common Multiple of 43424 and 43439