What is the Greatest Common Factor of 34396 and 34408?

Greatest common factor (GCF) of 34396 and 34408 is 4.

GCF(34396,34408) = 4

We will now calculate the prime factors of 34396 and 34408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34396 and 34408.

How to find the GCF of 34396 and 34408?

We will first find the prime factorization of 34396 and 34408. After we will calculate the factors of 34396 and 34408 and find the biggest common factor number .

Step-1: Prime Factorization of 34396

Prime factors of 34396 are 2, 8599. Prime factorization of 34396 in exponential form is:

34396 = 2² × 8599¹

Step-2: Prime Factorization of 34408

Prime factors of 34408 are 2, 11, 17, 23. Prime factorization of 34408 in exponential form is:

34408 = 2³ × 11¹ × 17¹ × 23¹

Step-3: Factors of 34396

List of positive integer factors of 34396 that divides 34396 without a remainder.

1, 2, 4, 8599, 17198

Step-4: Factors of 34408

List of positive integer factors of 34408 that divides 34396 without a remainder.

1, 2, 4, 8, 11, 17, 22, 23, 34, 44, 46, 68, 88, 92, 136, 184, 187, 253, 374, 391, 506, 748, 782, 1012, 1496, 1564, 2024, 3128, 4301, 8602, 17204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34396 and 34408. The biggest common factor number is the GCF number.
So the greatest common factor 34396 and 34408 is 4.

Also check out the Least Common Multiple of 34396 and 34408