What is the Greatest Common Factor of 43472 and 43488?

Greatest common factor (GCF) of 43472 and 43488 is 16.

GCF(43472,43488) = 16

We will now calculate the prime factors of 43472 and 43488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43472 and 43488.

How to find the GCF of 43472 and 43488?

We will first find the prime factorization of 43472 and 43488. After we will calculate the factors of 43472 and 43488 and find the biggest common factor number .

Step-1: Prime Factorization of 43472

Prime factors of 43472 are 2, 11, 13, 19. Prime factorization of 43472 in exponential form is:

43472 = 2⁴ × 11¹ × 13¹ × 19¹

Step-2: 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-3: Factors of 43472

List of positive integer factors of 43472 that divides 43472 without a remainder.

1, 2, 4, 8, 11, 13, 16, 19, 22, 26, 38, 44, 52, 76, 88, 104, 143, 152, 176, 208, 209, 247, 286, 304, 418, 494, 572, 836, 988, 1144, 1672, 1976, 2288, 2717, 3344, 3952, 5434, 10868, 21736

Step-4: Factors of 43488

List of positive integer factors of 43488 that divides 43472 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43472 and 43488. The biggest common factor number is the GCF number.
So the greatest common factor 43472 and 43488 is 16.

Also check out the Least Common Multiple of 43472 and 43488