What is the Greatest Common Factor of 34234 and 34254?

Greatest common factor (GCF) of 34234 and 34254 is 2.

GCF(34234,34254) = 2

We will now calculate the prime factors of 34234 and 34254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34234 and 34254.

How to find the GCF of 34234 and 34254?

We will first find the prime factorization of 34234 and 34254. After we will calculate the factors of 34234 and 34254 and find the biggest common factor number .

Step-1: Prime Factorization of 34234

Prime factors of 34234 are 2, 17117. Prime factorization of 34234 in exponential form is:

34234 = 2¹ × 17117¹

Step-2: Prime Factorization of 34254

Prime factors of 34254 are 2, 3, 11, 173. Prime factorization of 34254 in exponential form is:

34254 = 2¹ × 3² × 11¹ × 173¹

Step-3: Factors of 34234

List of positive integer factors of 34234 that divides 34234 without a remainder.

1, 2, 17117

Step-4: Factors of 34254

List of positive integer factors of 34254 that divides 34234 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 173, 198, 346, 519, 1038, 1557, 1903, 3114, 3806, 5709, 11418, 17127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34234 and 34254. The biggest common factor number is the GCF number.
So the greatest common factor 34234 and 34254 is 2.

Also check out the Least Common Multiple of 34234 and 34254