What is the Greatest Common Factor of 34464 and 34481?

Greatest common factor (GCF) of 34464 and 34481 is 1.

GCF(34464,34481) = 1

We will now calculate the prime factors of 34464 and 34481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34464 and 34481.

How to find the GCF of 34464 and 34481?

We will first find the prime factorization of 34464 and 34481. After we will calculate the factors of 34464 and 34481 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 34481

Prime factors of 34481 are 29, 41. Prime factorization of 34481 in exponential form is:

34481 = 29² × 41¹

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 34481

List of positive integer factors of 34481 that divides 34464 without a remainder.

1, 29, 41, 841, 1189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34464 and 34481. The biggest common factor number is the GCF number.
So the greatest common factor 34464 and 34481 is 1.

Also check out the Least Common Multiple of 34464 and 34481