What is the Greatest Common Factor of 34344 and 34359?

Greatest common factor (GCF) of 34344 and 34359 is 3.

GCF(34344,34359) = 3

We will now calculate the prime factors of 34344 and 34359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34344 and 34359.

How to find the GCF of 34344 and 34359?

We will first find the prime factorization of 34344 and 34359. After we will calculate the factors of 34344 and 34359 and find the biggest common factor number .

Step-1: Prime Factorization of 34344

Prime factors of 34344 are 2, 3, 53. Prime factorization of 34344 in exponential form is:

34344 = 2³ × 3⁴ × 53¹

Step-2: Prime Factorization of 34359

Prime factors of 34359 are 3, 13, 881. Prime factorization of 34359 in exponential form is:

34359 = 3¹ × 13¹ × 881¹

Step-3: Factors of 34344

List of positive integer factors of 34344 that divides 34344 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 53, 54, 72, 81, 106, 108, 159, 162, 212, 216, 318, 324, 424, 477, 636, 648, 954, 1272, 1431, 1908, 2862, 3816, 4293, 5724, 8586, 11448, 17172

Step-4: Factors of 34359

List of positive integer factors of 34359 that divides 34344 without a remainder.

1, 3, 13, 39, 881, 2643, 11453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34344 and 34359. The biggest common factor number is the GCF number.
So the greatest common factor 34344 and 34359 is 3.

Also check out the Least Common Multiple of 34344 and 34359