What is the Greatest Common Factor of 43434 and 43449?

Greatest common factor (GCF) of 43434 and 43449 is 3.

GCF(43434,43449) = 3

We will now calculate the prime factors of 43434 and 43449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43434 and 43449.

How to find the GCF of 43434 and 43449?

We will first find the prime factorization of 43434 and 43449. After we will calculate the factors of 43434 and 43449 and find the biggest common factor number .

Step-1: Prime Factorization of 43434

Prime factors of 43434 are 2, 3, 19, 127. Prime factorization of 43434 in exponential form is:

43434 = 2¹ × 3² × 19¹ × 127¹

Step-2: 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-3: Factors of 43434

List of positive integer factors of 43434 that divides 43434 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 127, 171, 254, 342, 381, 762, 1143, 2286, 2413, 4826, 7239, 14478, 21717

Step-4: Factors of 43449

List of positive integer factors of 43449 that divides 43434 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43434 and 43449. The biggest common factor number is the GCF number.
So the greatest common factor 43434 and 43449 is 3.

Also check out the Least Common Multiple of 43434 and 43449