What is the Greatest Common Factor of 43449 and 43467?

Greatest common factor (GCF) of 43449 and 43467 is 3.

GCF(43449,43467) = 3

We will now calculate the prime factors of 43449 and 43467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43449 and 43467.

How to find the GCF of 43449 and 43467?

We will first find the prime factorization of 43449 and 43467. After we will calculate the factors of 43449 and 43467 and find the biggest common factor number .

Step-1: Prime Factorization of 43449

Prime factors of 43449 are 3, 7, 2069. Prime factorization of 43449 in exponential form is:

43449 = 3¹ × 7¹ × 2069¹

Step-2: Prime Factorization of 43467

Prime factors of 43467 are 3, 14489. Prime factorization of 43467 in exponential form is:

43467 = 3¹ × 14489¹

Step-3: Factors of 43449

List of positive integer factors of 43449 that divides 43449 without a remainder.

1, 3, 7, 21, 2069, 6207, 14483

Step-4: Factors of 43467

List of positive integer factors of 43467 that divides 43449 without a remainder.

1, 3, 14489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43449 and 43467. The biggest common factor number is the GCF number.
So the greatest common factor 43449 and 43467 is 3.

Also check out the Least Common Multiple of 43449 and 43467