What is the Greatest Common Factor of 43221 and 43239?

Greatest common factor (GCF) of 43221 and 43239 is 3.

GCF(43221,43239) = 3

We will now calculate the prime factors of 43221 and 43239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43221 and 43239.

How to find the GCF of 43221 and 43239?

We will first find the prime factorization of 43221 and 43239. After we will calculate the factors of 43221 and 43239 and find the biggest common factor number .

Step-1: Prime Factorization of 43221

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

43221 = 3¹ × 14407¹

Step-2: Prime Factorization of 43239

Prime factors of 43239 are 3, 7, 29, 71. Prime factorization of 43239 in exponential form is:

43239 = 3¹ × 7¹ × 29¹ × 71¹

Step-3: Factors of 43221

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

1, 3, 14407

Step-4: Factors of 43239

List of positive integer factors of 43239 that divides 43221 without a remainder.

1, 3, 7, 21, 29, 71, 87, 203, 213, 497, 609, 1491, 2059, 6177, 14413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43221 and 43239. The biggest common factor number is the GCF number.
So the greatest common factor 43221 and 43239 is 3.

Also check out the Least Common Multiple of 43221 and 43239