What is the Greatest Common Factor of 34344 and 34356?

Greatest common factor (GCF) of 34344 and 34356 is 12.

GCF(34344,34356) = 12

We will now calculate the prime factors of 34344 and 34356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34344 and 34356.

How to find the GCF of 34344 and 34356?

We will first find the prime factorization of 34344 and 34356. After we will calculate the factors of 34344 and 34356 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 34356

Prime factors of 34356 are 2, 3, 7, 409. Prime factorization of 34356 in exponential form is:

34356 = 2² × 3¹ × 7¹ × 409¹

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 34356

List of positive integer factors of 34356 that divides 34344 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 409, 818, 1227, 1636, 2454, 2863, 4908, 5726, 8589, 11452, 17178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34344 and 34356. The biggest common factor number is the GCF number.
So the greatest common factor 34344 and 34356 is 12.

Also check out the Least Common Multiple of 34344 and 34356