What is the Greatest Common Factor of 34288 and 34308?

Greatest common factor (GCF) of 34288 and 34308 is 4.

GCF(34288,34308) = 4

We will now calculate the prime factors of 34288 and 34308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34288 and 34308.

How to find the GCF of 34288 and 34308?

We will first find the prime factorization of 34288 and 34308. After we will calculate the factors of 34288 and 34308 and find the biggest common factor number .

Step-1: Prime Factorization of 34288

Prime factors of 34288 are 2, 2143. Prime factorization of 34288 in exponential form is:

34288 = 2⁴ × 2143¹

Step-2: Prime Factorization of 34308

Prime factors of 34308 are 2, 3, 953. Prime factorization of 34308 in exponential form is:

34308 = 2² × 3² × 953¹

Step-3: Factors of 34288

List of positive integer factors of 34288 that divides 34288 without a remainder.

1, 2, 4, 8, 16, 2143, 4286, 8572, 17144

Step-4: Factors of 34308

List of positive integer factors of 34308 that divides 34288 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 953, 1906, 2859, 3812, 5718, 8577, 11436, 17154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34288 and 34308. The biggest common factor number is the GCF number.
So the greatest common factor 34288 and 34308 is 4.

Also check out the Least Common Multiple of 34288 and 34308