What is the Greatest Common Factor of 43239 and 43257?

Greatest common factor (GCF) of 43239 and 43257 is 3.

GCF(43239,43257) = 3

We will now calculate the prime factors of 43239 and 43257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43239 and 43257.

How to find the GCF of 43239 and 43257?

We will first find the prime factorization of 43239 and 43257. After we will calculate the factors of 43239 and 43257 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43257

Prime factors of 43257 are 3, 14419. Prime factorization of 43257 in exponential form is:

43257 = 3¹ × 14419¹

Step-3: Factors of 43239

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

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

Step-4: Factors of 43257

List of positive integer factors of 43257 that divides 43239 without a remainder.

1, 3, 14419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43239 and 43257. The biggest common factor number is the GCF number.
So the greatest common factor 43239 and 43257 is 3.

Also check out the Least Common Multiple of 43239 and 43257