What is the Greatest Common Factor of 34348 and 34358?

Greatest common factor (GCF) of 34348 and 34358 is 2.

GCF(34348,34358) = 2

We will now calculate the prime factors of 34348 and 34358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34348 and 34358.

How to find the GCF of 34348 and 34358?

We will first find the prime factorization of 34348 and 34358. After we will calculate the factors of 34348 and 34358 and find the biggest common factor number .

Step-1: Prime Factorization of 34348

Prime factors of 34348 are 2, 31, 277. Prime factorization of 34348 in exponential form is:

34348 = 2² × 31¹ × 277¹

Step-2: Prime Factorization of 34358

Prime factors of 34358 are 2, 41, 419. Prime factorization of 34358 in exponential form is:

34358 = 2¹ × 41¹ × 419¹

Step-3: Factors of 34348

List of positive integer factors of 34348 that divides 34348 without a remainder.

1, 2, 4, 31, 62, 124, 277, 554, 1108, 8587, 17174

Step-4: Factors of 34358

List of positive integer factors of 34358 that divides 34348 without a remainder.

1, 2, 41, 82, 419, 838, 17179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34348 and 34358. The biggest common factor number is the GCF number.
So the greatest common factor 34348 and 34358 is 2.

Also check out the Least Common Multiple of 34348 and 34358