What is the Greatest Common Factor of 34464 and 34483?

Greatest common factor (GCF) of 34464 and 34483 is 1.

GCF(34464,34483) = 1

We will now calculate the prime factors of 34464 and 34483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34464 and 34483.

How to find the GCF of 34464 and 34483?

We will first find the prime factorization of 34464 and 34483. After we will calculate the factors of 34464 and 34483 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 34483

Prime factors of 34483 are 34483. Prime factorization of 34483 in exponential form is:

34483 = 34483¹

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 34483

List of positive integer factors of 34483 that divides 34464 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34464 and 34483. The biggest common factor number is the GCF number.
So the greatest common factor 34464 and 34483 is 1.

Also check out the Least Common Multiple of 34464 and 34483