What is the Greatest Common Factor of 43413 and 43431?

Greatest common factor (GCF) of 43413 and 43431 is 3.

GCF(43413,43431) = 3

We will now calculate the prime factors of 43413 and 43431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43413 and 43431.

How to find the GCF of 43413 and 43431?

We will first find the prime factorization of 43413 and 43431. After we will calculate the factors of 43413 and 43431 and find the biggest common factor number .

Step-1: Prime Factorization of 43413

Prime factors of 43413 are 3, 29, 499. Prime factorization of 43413 in exponential form is:

43413 = 3¹ × 29¹ × 499¹

Step-2: 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-3: Factors of 43413

List of positive integer factors of 43413 that divides 43413 without a remainder.

1, 3, 29, 87, 499, 1497, 14471

Step-4: Factors of 43431

List of positive integer factors of 43431 that divides 43413 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43413 and 43431. The biggest common factor number is the GCF number.
So the greatest common factor 43413 and 43431 is 3.

Also check out the Least Common Multiple of 43413 and 43431