What is the Greatest Common Factor of 43230 and 43241?

Greatest common factor (GCF) of 43230 and 43241 is 11.

GCF(43230,43241) = 11

We will now calculate the prime factors of 43230 and 43241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43230 and 43241.

How to find the GCF of 43230 and 43241?

We will first find the prime factorization of 43230 and 43241. After we will calculate the factors of 43230 and 43241 and find the biggest common factor number .

Step-1: Prime Factorization of 43230

Prime factors of 43230 are 2, 3, 5, 11, 131. Prime factorization of 43230 in exponential form is:

43230 = 2¹ × 3¹ × 5¹ × 11¹ × 131¹

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 43230

List of positive integer factors of 43230 that divides 43230 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 131, 165, 262, 330, 393, 655, 786, 1310, 1441, 1965, 2882, 3930, 4323, 7205, 8646, 14410, 21615

Step-4: Factors of 43241

List of positive integer factors of 43241 that divides 43230 without a remainder.

1, 11, 3931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43230 and 43241. The biggest common factor number is the GCF number.
So the greatest common factor 43230 and 43241 is 11.

Also check out the Least Common Multiple of 43230 and 43241