What is the Greatest Common Factor of 82828 and 82834?

Greatest common factor (GCF) of 82828 and 82834 is 2.

GCF(82828,82834) = 2

We will now calculate the prime factors of 82828 and 82834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82828 and 82834.

How to find the GCF of 82828 and 82834?

We will first find the prime factorization of 82828 and 82834. After we will calculate the factors of 82828 and 82834 and find the biggest common factor number .

Step-1: Prime Factorization of 82828

Prime factors of 82828 are 2, 20707. Prime factorization of 82828 in exponential form is:

82828 = 2² × 20707¹

Step-2: 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-3: Factors of 82828

List of positive integer factors of 82828 that divides 82828 without a remainder.

1, 2, 4, 20707, 41414

Step-4: Factors of 82834

List of positive integer factors of 82834 that divides 82828 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82828 and 82834. The biggest common factor number is the GCF number.
So the greatest common factor 82828 and 82834 is 2.

Also check out the Least Common Multiple of 82828 and 82834