What is the Greatest Common Factor of 43488 and 43506?

Greatest common factor (GCF) of 43488 and 43506 is 18.

GCF(43488,43506) = 18

We will now calculate the prime factors of 43488 and 43506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43488 and 43506.

How to find the GCF of 43488 and 43506?

We will first find the prime factorization of 43488 and 43506. After we will calculate the factors of 43488 and 43506 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 43506

Prime factors of 43506 are 2, 3, 2417. Prime factorization of 43506 in exponential form is:

43506 = 2¹ × 3² × 2417¹

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 43506

List of positive integer factors of 43506 that divides 43488 without a remainder.

1, 2, 3, 6, 9, 18, 2417, 4834, 7251, 14502, 21753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43488 and 43506. The biggest common factor number is the GCF number.
So the greatest common factor 43488 and 43506 is 18.

Also check out the Least Common Multiple of 43488 and 43506