What is the Greatest Common Factor of 34335 and 34342?

Greatest common factor (GCF) of 34335 and 34342 is 7.

GCF(34335,34342) = 7

We will now calculate the prime factors of 34335 and 34342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34335 and 34342.

How to find the GCF of 34335 and 34342?

We will first find the prime factorization of 34335 and 34342. After we will calculate the factors of 34335 and 34342 and find the biggest common factor number .

Step-1: Prime Factorization of 34335

Prime factors of 34335 are 3, 5, 7, 109. Prime factorization of 34335 in exponential form is:

34335 = 3² × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 34342

Prime factors of 34342 are 2, 7, 11, 223. Prime factorization of 34342 in exponential form is:

34342 = 2¹ × 7¹ × 11¹ × 223¹

Step-3: Factors of 34335

List of positive integer factors of 34335 that divides 34335 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 109, 315, 327, 545, 763, 981, 1635, 2289, 3815, 4905, 6867, 11445

Step-4: Factors of 34342

List of positive integer factors of 34342 that divides 34335 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 223, 446, 1561, 2453, 3122, 4906, 17171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34335 and 34342. The biggest common factor number is the GCF number.
So the greatest common factor 34335 and 34342 is 7.

Also check out the Least Common Multiple of 34335 and 34342