What is the Greatest Common Factor of 43440 and 43457?

Greatest common factor (GCF) of 43440 and 43457 is 1.

GCF(43440,43457) = 1

We will now calculate the prime factors of 43440 and 43457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43440 and 43457.

How to find the GCF of 43440 and 43457?

We will first find the prime factorization of 43440 and 43457. After we will calculate the factors of 43440 and 43457 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 43457

Prime factors of 43457 are 43457. Prime factorization of 43457 in exponential form is:

43457 = 43457¹

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 43457

List of positive integer factors of 43457 that divides 43440 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43440 and 43457. The biggest common factor number is the GCF number.
So the greatest common factor 43440 and 43457 is 1.

Also check out the Least Common Multiple of 43440 and 43457