What is the Greatest Common Factor of 43254 and 43259?

Greatest common factor (GCF) of 43254 and 43259 is 1.

GCF(43254,43259) = 1

We will now calculate the prime factors of 43254 and 43259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43254 and 43259.

How to find the GCF of 43254 and 43259?

We will first find the prime factorization of 43254 and 43259. After we will calculate the factors of 43254 and 43259 and find the biggest common factor number .

Step-1: Prime Factorization of 43254

Prime factors of 43254 are 2, 3, 89. Prime factorization of 43254 in exponential form is:

43254 = 2¹ × 3⁵ × 89¹

Step-2: Prime Factorization of 43259

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

43259 = 181¹ × 239¹

Step-3: Factors of 43254

List of positive integer factors of 43254 that divides 43254 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 89, 162, 178, 243, 267, 486, 534, 801, 1602, 2403, 4806, 7209, 14418, 21627

Step-4: Factors of 43259

List of positive integer factors of 43259 that divides 43254 without a remainder.

1, 181, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43254 and 43259. The biggest common factor number is the GCF number.
So the greatest common factor 43254 and 43259 is 1.

Also check out the Least Common Multiple of 43254 and 43259