What is the Greatest Common Factor of 34338 and 34346?

Greatest common factor (GCF) of 34338 and 34346 is 2.

GCF(34338,34346) = 2

We will now calculate the prime factors of 34338 and 34346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34338 and 34346.

How to find the GCF of 34338 and 34346?

We will first find the prime factorization of 34338 and 34346. After we will calculate the factors of 34338 and 34346 and find the biggest common factor number .

Step-1: Prime Factorization of 34338

Prime factors of 34338 are 2, 3, 59, 97. Prime factorization of 34338 in exponential form is:

34338 = 2¹ × 3¹ × 59¹ × 97¹

Step-2: Prime Factorization of 34346

Prime factors of 34346 are 2, 13, 1321. Prime factorization of 34346 in exponential form is:

34346 = 2¹ × 13¹ × 1321¹

Step-3: Factors of 34338

List of positive integer factors of 34338 that divides 34338 without a remainder.

1, 2, 3, 6, 59, 97, 118, 177, 194, 291, 354, 582, 5723, 11446, 17169

Step-4: Factors of 34346

List of positive integer factors of 34346 that divides 34338 without a remainder.

1, 2, 13, 26, 1321, 2642, 17173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34338 and 34346. The biggest common factor number is the GCF number.
So the greatest common factor 34338 and 34346 is 2.

Also check out the Least Common Multiple of 34338 and 34346