What is the Greatest Common Factor of 34431 and 34443?

Greatest common factor (GCF) of 34431 and 34443 is 3.

GCF(34431,34443) = 3

We will now calculate the prime factors of 34431 and 34443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34431 and 34443.

How to find the GCF of 34431 and 34443?

We will first find the prime factorization of 34431 and 34443. After we will calculate the factors of 34431 and 34443 and find the biggest common factor number .

Step-1: Prime Factorization of 34431

Prime factors of 34431 are 3, 23, 499. Prime factorization of 34431 in exponential form is:

34431 = 3¹ × 23¹ × 499¹

Step-2: Prime Factorization of 34443

Prime factors of 34443 are 3, 43, 89. Prime factorization of 34443 in exponential form is:

34443 = 3² × 43¹ × 89¹

Step-3: Factors of 34431

List of positive integer factors of 34431 that divides 34431 without a remainder.

1, 3, 23, 69, 499, 1497, 11477

Step-4: Factors of 34443

List of positive integer factors of 34443 that divides 34431 without a remainder.

1, 3, 9, 43, 89, 129, 267, 387, 801, 3827, 11481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34431 and 34443. The biggest common factor number is the GCF number.
So the greatest common factor 34431 and 34443 is 3.

Also check out the Least Common Multiple of 34431 and 34443