What is the Greatest Common Factor of 34356 and 34368?

Greatest common factor (GCF) of 34356 and 34368 is 12.

GCF(34356,34368) = 12

We will now calculate the prime factors of 34356 and 34368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34356 and 34368.

How to find the GCF of 34356 and 34368?

We will first find the prime factorization of 34356 and 34368. After we will calculate the factors of 34356 and 34368 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34368

Prime factors of 34368 are 2, 3, 179. Prime factorization of 34368 in exponential form is:

34368 = 2⁶ × 3¹ × 179¹

Step-3: Factors of 34356

List of positive integer factors of 34356 that divides 34356 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

Step-4: Factors of 34368

List of positive integer factors of 34368 that divides 34356 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 179, 192, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 5728, 8592, 11456, 17184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34356 and 34368. The biggest common factor number is the GCF number.
So the greatest common factor 34356 and 34368 is 12.

Also check out the Least Common Multiple of 34356 and 34368