What is the Greatest Common Factor of 34833 and 34850?

Greatest common factor (GCF) of 34833 and 34850 is 17.

GCF(34833,34850) = 17

We will now calculate the prime factors of 34833 and 34850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34833 and 34850.

How to find the GCF of 34833 and 34850?

We will first find the prime factorization of 34833 and 34850. After we will calculate the factors of 34833 and 34850 and find the biggest common factor number .

Step-1: Prime Factorization of 34833

Prime factors of 34833 are 3, 17, 683. Prime factorization of 34833 in exponential form is:

34833 = 3¹ × 17¹ × 683¹

Step-2: Prime Factorization of 34850

Prime factors of 34850 are 2, 5, 17, 41. Prime factorization of 34850 in exponential form is:

34850 = 2¹ × 5² × 17¹ × 41¹

Step-3: Factors of 34833

List of positive integer factors of 34833 that divides 34833 without a remainder.

1, 3, 17, 51, 683, 2049, 11611

Step-4: Factors of 34850

List of positive integer factors of 34850 that divides 34833 without a remainder.

1, 2, 5, 10, 17, 25, 34, 41, 50, 82, 85, 170, 205, 410, 425, 697, 850, 1025, 1394, 2050, 3485, 6970, 17425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34833 and 34850. The biggest common factor number is the GCF number.
So the greatest common factor 34833 and 34850 is 17.

Also check out the Least Common Multiple of 34833 and 34850