What is the Greatest Common Factor of 43259 and 43263?

Greatest common factor (GCF) of 43259 and 43263 is 1.

GCF(43259,43263) = 1

We will now calculate the prime factors of 43259 and 43263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43259 and 43263.

How to find the GCF of 43259 and 43263?

We will first find the prime factorization of 43259 and 43263. After we will calculate the factors of 43259 and 43263 and find the biggest common factor number .

Step-1: Prime Factorization of 43259

Prime factors of 43259 are 181, 239. Prime factorization of 43259 in exponential form is:

43259 = 181¹ × 239¹

Step-2: Prime Factorization of 43263

Prime factors of 43263 are 3, 11, 19, 23. Prime factorization of 43263 in exponential form is:

43263 = 3² × 11¹ × 19¹ × 23¹

Step-3: Factors of 43259

List of positive integer factors of 43259 that divides 43259 without a remainder.

1, 181, 239

Step-4: Factors of 43263

List of positive integer factors of 43263 that divides 43259 without a remainder.

1, 3, 9, 11, 19, 23, 33, 57, 69, 99, 171, 207, 209, 253, 437, 627, 759, 1311, 1881, 2277, 3933, 4807, 14421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43259 and 43263. The biggest common factor number is the GCF number.
So the greatest common factor 43259 and 43263 is 1.

Also check out the Least Common Multiple of 43259 and 43263