What is the Greatest Common Factor of 43214 and 43232?

Greatest common factor (GCF) of 43214 and 43232 is 2.

GCF(43214,43232) = 2

We will now calculate the prime factors of 43214 and 43232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43214 and 43232.

How to find the GCF of 43214 and 43232?

We will first find the prime factorization of 43214 and 43232. After we will calculate the factors of 43214 and 43232 and find the biggest common factor number .

Step-1: Prime Factorization of 43214

Prime factors of 43214 are 2, 17, 31, 41. Prime factorization of 43214 in exponential form is:

43214 = 2¹ × 17¹ × 31¹ × 41¹

Step-2: 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-3: Factors of 43214

List of positive integer factors of 43214 that divides 43214 without a remainder.

1, 2, 17, 31, 34, 41, 62, 82, 527, 697, 1054, 1271, 1394, 2542, 21607

Step-4: Factors of 43232

List of positive integer factors of 43232 that divides 43214 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43214 and 43232. The biggest common factor number is the GCF number.
So the greatest common factor 43214 and 43232 is 2.

Also check out the Least Common Multiple of 43214 and 43232