What is the Greatest Common Factor of 43232 and 43248?

Greatest common factor (GCF) of 43232 and 43248 is 16.

GCF(43232,43248) = 16

We will now calculate the prime factors of 43232 and 43248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43232 and 43248.

How to find the GCF of 43232 and 43248?

We will first find the prime factorization of 43232 and 43248. After we will calculate the factors of 43232 and 43248 and find the biggest common factor number .

Step-1: Prime Factorization of 43232

Prime factors of 43232 are 2, 7, 193. Prime factorization of 43232 in exponential form is:

43232 = 2⁵ × 7¹ × 193¹

Step-2: Prime Factorization of 43248

Prime factors of 43248 are 2, 3, 17, 53. Prime factorization of 43248 in exponential form is:

43248 = 2⁴ × 3¹ × 17¹ × 53¹

Step-3: Factors of 43232

List of positive integer factors of 43232 that divides 43232 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 193, 224, 386, 772, 1351, 1544, 2702, 3088, 5404, 6176, 10808, 21616

Step-4: Factors of 43248

List of positive integer factors of 43248 that divides 43232 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 53, 68, 102, 106, 136, 159, 204, 212, 272, 318, 408, 424, 636, 816, 848, 901, 1272, 1802, 2544, 2703, 3604, 5406, 7208, 10812, 14416, 21624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43232 and 43248. The biggest common factor number is the GCF number.
So the greatest common factor 43232 and 43248 is 16.

Also check out the Least Common Multiple of 43232 and 43248