What is the Greatest Common Factor of 43232 and 43241?

Greatest common factor (GCF) of 43232 and 43241 is 1.

GCF(43232,43241) = 1

We will now calculate the prime factors of 43232 and 43241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43232 and 43241.

How to find the GCF of 43232 and 43241?

We will first find the prime factorization of 43232 and 43241. After we will calculate the factors of 43232 and 43241 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 43241

Prime factors of 43241 are 11, 3931. Prime factorization of 43241 in exponential form is:

43241 = 11¹ × 3931¹

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 43241

List of positive integer factors of 43241 that divides 43232 without a remainder.

1, 11, 3931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43232 and 43241. The biggest common factor number is the GCF number.
So the greatest common factor 43232 and 43241 is 1.

Also check out the Least Common Multiple of 43232 and 43241