What is the Greatest Common Factor of 43206 and 43221?

Greatest common factor (GCF) of 43206 and 43221 is 3.

GCF(43206,43221) = 3

We will now calculate the prime factors of 43206 and 43221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43206 and 43221.

How to find the GCF of 43206 and 43221?

We will first find the prime factorization of 43206 and 43221. After we will calculate the factors of 43206 and 43221 and find the biggest common factor number .

Step-1: Prime Factorization of 43206

Prime factors of 43206 are 2, 3, 19, 379. Prime factorization of 43206 in exponential form is:

43206 = 2¹ × 3¹ × 19¹ × 379¹

Step-2: Prime Factorization of 43221

Prime factors of 43221 are 3, 14407. Prime factorization of 43221 in exponential form is:

43221 = 3¹ × 14407¹

Step-3: Factors of 43206

List of positive integer factors of 43206 that divides 43206 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 379, 758, 1137, 2274, 7201, 14402, 21603

Step-4: Factors of 43221

List of positive integer factors of 43221 that divides 43206 without a remainder.

1, 3, 14407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43206 and 43221. The biggest common factor number is the GCF number.
So the greatest common factor 43206 and 43221 is 3.

Also check out the Least Common Multiple of 43206 and 43221