What is the Greatest Common Factor of 34464 and 34473?

Greatest common factor (GCF) of 34464 and 34473 is 3.

GCF(34464,34473) = 3

We will now calculate the prime factors of 34464 and 34473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34464 and 34473.

How to find the GCF of 34464 and 34473?

We will first find the prime factorization of 34464 and 34473. After we will calculate the factors of 34464 and 34473 and find the biggest common factor number .

Step-1: Prime Factorization of 34464

Prime factors of 34464 are 2, 3, 359. Prime factorization of 34464 in exponential form is:

34464 = 2⁵ × 3¹ × 359¹

Step-2: Prime Factorization of 34473

Prime factors of 34473 are 3, 11491. Prime factorization of 34473 in exponential form is:

34473 = 3¹ × 11491¹

Step-3: Factors of 34464

List of positive integer factors of 34464 that divides 34464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 11488, 17232

Step-4: Factors of 34473

List of positive integer factors of 34473 that divides 34464 without a remainder.

1, 3, 11491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34464 and 34473. The biggest common factor number is the GCF number.
So the greatest common factor 34464 and 34473 is 3.

Also check out the Least Common Multiple of 34464 and 34473