What is the Greatest Common Factor of 34356 and 34374?

Greatest common factor (GCF) of 34356 and 34374 is 6.

GCF(34356,34374) = 6

We will now calculate the prime factors of 34356 and 34374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34356 and 34374.

How to find the GCF of 34356 and 34374?

We will first find the prime factorization of 34356 and 34374. After we will calculate the factors of 34356 and 34374 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 34374

Prime factors of 34374 are 2, 3, 17, 337. Prime factorization of 34374 in exponential form is:

34374 = 2¹ × 3¹ × 17¹ × 337¹

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 34374

List of positive integer factors of 34374 that divides 34356 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 337, 674, 1011, 2022, 5729, 11458, 17187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34356 and 34374. The biggest common factor number is the GCF number.
So the greatest common factor 34356 and 34374 is 6.

Also check out the Least Common Multiple of 34356 and 34374