What is the Greatest Common Factor of 43488 and 43504?

Greatest common factor (GCF) of 43488 and 43504 is 16.

GCF(43488,43504) = 16

We will now calculate the prime factors of 43488 and 43504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43488 and 43504.

How to find the GCF of 43488 and 43504?

We will first find the prime factorization of 43488 and 43504. After we will calculate the factors of 43488 and 43504 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 43504

Prime factors of 43504 are 2, 2719. Prime factorization of 43504 in exponential form is:

43504 = 2⁴ × 2719¹

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 43504

List of positive integer factors of 43504 that divides 43488 without a remainder.

1, 2, 4, 8, 16, 2719, 5438, 10876, 21752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43488 and 43504. The biggest common factor number is the GCF number.
So the greatest common factor 43488 and 43504 is 16.

Also check out the Least Common Multiple of 43488 and 43504