What is the Greatest Common Factor of 34449 and 34464?

Greatest common factor (GCF) of 34449 and 34464 is 3.

GCF(34449,34464) = 3

We will now calculate the prime factors of 34449 and 34464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34449 and 34464.

How to find the GCF of 34449 and 34464?

We will first find the prime factorization of 34449 and 34464. After we will calculate the factors of 34449 and 34464 and find the biggest common factor number .

Step-1: Prime Factorization of 34449

Prime factors of 34449 are 3, 11483. Prime factorization of 34449 in exponential form is:

34449 = 3¹ × 11483¹

Step-2: 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-3: Factors of 34449

List of positive integer factors of 34449 that divides 34449 without a remainder.

1, 3, 11483

Step-4: Factors of 34464

List of positive integer factors of 34464 that divides 34449 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34449 and 34464. The biggest common factor number is the GCF number.
So the greatest common factor 34449 and 34464 is 3.

Also check out the Least Common Multiple of 34449 and 34464