What is the Greatest Common Factor of 34464 and 34478?

Greatest common factor (GCF) of 34464 and 34478 is 2.

GCF(34464,34478) = 2

We will now calculate the prime factors of 34464 and 34478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34464 and 34478.

How to find the GCF of 34464 and 34478?

We will first find the prime factorization of 34464 and 34478. After we will calculate the factors of 34464 and 34478 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 34478

Prime factors of 34478 are 2, 17239. Prime factorization of 34478 in exponential form is:

34478 = 2¹ × 17239¹

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 34478

List of positive integer factors of 34478 that divides 34464 without a remainder.

1, 2, 17239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34464 and 34478. The biggest common factor number is the GCF number.
So the greatest common factor 34464 and 34478 is 2.

Also check out the Least Common Multiple of 34464 and 34478