What is the Greatest Common Factor of 43440 and 43459?

Greatest common factor (GCF) of 43440 and 43459 is 1.

GCF(43440,43459) = 1

We will now calculate the prime factors of 43440 and 43459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43440 and 43459.

How to find the GCF of 43440 and 43459?

We will first find the prime factorization of 43440 and 43459. After we will calculate the factors of 43440 and 43459 and find the biggest common factor number .

Step-1: Prime Factorization of 43440

Prime factors of 43440 are 2, 3, 5, 181. Prime factorization of 43440 in exponential form is:

43440 = 2⁴ × 3¹ × 5¹ × 181¹

Step-2: Prime Factorization of 43459

Prime factors of 43459 are 13, 3343. Prime factorization of 43459 in exponential form is:

43459 = 13¹ × 3343¹

Step-3: Factors of 43440

List of positive integer factors of 43440 that divides 43440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 181, 240, 362, 543, 724, 905, 1086, 1448, 1810, 2172, 2715, 2896, 3620, 4344, 5430, 7240, 8688, 10860, 14480, 21720

Step-4: Factors of 43459

List of positive integer factors of 43459 that divides 43440 without a remainder.

1, 13, 3343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43440 and 43459. The biggest common factor number is the GCF number.
So the greatest common factor 43440 and 43459 is 1.

Also check out the Least Common Multiple of 43440 and 43459