What is the Greatest Common Factor of 82834 and 82850?

Greatest common factor (GCF) of 82834 and 82850 is 2.

GCF(82834,82850) = 2

We will now calculate the prime factors of 82834 and 82850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82834 and 82850.

How to find the GCF of 82834 and 82850?

We will first find the prime factorization of 82834 and 82850. After we will calculate the factors of 82834 and 82850 and find the biggest common factor number .

Step-1: Prime Factorization of 82834

Prime factors of 82834 are 2, 83, 499. Prime factorization of 82834 in exponential form is:

82834 = 2¹ × 83¹ × 499¹

Step-2: Prime Factorization of 82850

Prime factors of 82850 are 2, 5, 1657. Prime factorization of 82850 in exponential form is:

82850 = 2¹ × 5² × 1657¹

Step-3: Factors of 82834

List of positive integer factors of 82834 that divides 82834 without a remainder.

1, 2, 83, 166, 499, 998, 41417

Step-4: Factors of 82850

List of positive integer factors of 82850 that divides 82834 without a remainder.

1, 2, 5, 10, 25, 50, 1657, 3314, 8285, 16570, 41425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82834 and 82850. The biggest common factor number is the GCF number.
So the greatest common factor 82834 and 82850 is 2.

Also check out the Least Common Multiple of 82834 and 82850