What is the Greatest Common Factor of 43488 and 43499?

Greatest common factor (GCF) of 43488 and 43499 is 1.

GCF(43488,43499) = 1

We will now calculate the prime factors of 43488 and 43499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43488 and 43499.

How to find the GCF of 43488 and 43499?

We will first find the prime factorization of 43488 and 43499. After we will calculate the factors of 43488 and 43499 and find the biggest common factor number .

Step-1: Prime Factorization of 43488

Prime factors of 43488 are 2, 3, 151. Prime factorization of 43488 in exponential form is:

43488 = 2⁵ × 3² × 151¹

Step-2: Prime Factorization of 43499

Prime factors of 43499 are 43499. Prime factorization of 43499 in exponential form is:

43499 = 43499¹

Step-3: Factors of 43488

List of positive integer factors of 43488 that divides 43488 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 151, 288, 302, 453, 604, 906, 1208, 1359, 1812, 2416, 2718, 3624, 4832, 5436, 7248, 10872, 14496, 21744

Step-4: Factors of 43499

List of positive integer factors of 43499 that divides 43488 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43488 and 43499. The biggest common factor number is the GCF number.
So the greatest common factor 43488 and 43499 is 1.

Also check out the Least Common Multiple of 43488 and 43499