What is the Greatest Common Factor of 34834 and 34850?

Greatest common factor (GCF) of 34834 and 34850 is 2.

GCF(34834,34850) = 2

We will now calculate the prime factors of 34834 and 34850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34834 and 34850.

How to find the GCF of 34834 and 34850?

We will first find the prime factorization of 34834 and 34850. After we will calculate the factors of 34834 and 34850 and find the biggest common factor number .

Step-1: Prime Factorization of 34834

Prime factors of 34834 are 2, 17417. Prime factorization of 34834 in exponential form is:

34834 = 2¹ × 17417¹

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 34834

List of positive integer factors of 34834 that divides 34834 without a remainder.

1, 2, 17417

Step-4: Factors of 34850

List of positive integer factors of 34850 that divides 34834 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 34834 and 34850. The biggest common factor number is the GCF number.
So the greatest common factor 34834 and 34850 is 2.

Also check out the Least Common Multiple of 34834 and 34850