What is the Greatest Common Factor of 43431 and 43446?

Greatest common factor (GCF) of 43431 and 43446 is 3.

GCF(43431,43446) = 3

We will now calculate the prime factors of 43431 and 43446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43431 and 43446.

How to find the GCF of 43431 and 43446?

We will first find the prime factorization of 43431 and 43446. After we will calculate the factors of 43431 and 43446 and find the biggest common factor number .

Step-1: Prime Factorization of 43431

Prime factors of 43431 are 3, 31, 467. Prime factorization of 43431 in exponential form is:

43431 = 3¹ × 31¹ × 467¹

Step-2: Prime Factorization of 43446

Prime factors of 43446 are 2, 3, 13, 557. Prime factorization of 43446 in exponential form is:

43446 = 2¹ × 3¹ × 13¹ × 557¹

Step-3: Factors of 43431

List of positive integer factors of 43431 that divides 43431 without a remainder.

1, 3, 31, 93, 467, 1401, 14477

Step-4: Factors of 43446

List of positive integer factors of 43446 that divides 43431 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 557, 1114, 1671, 3342, 7241, 14482, 21723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43431 and 43446. The biggest common factor number is the GCF number.
So the greatest common factor 43431 and 43446 is 3.

Also check out the Least Common Multiple of 43431 and 43446