What is the Greatest Common Factor of 82826 and 82834?

Greatest common factor (GCF) of 82826 and 82834 is 2.

GCF(82826,82834) = 2

We will now calculate the prime factors of 82826 and 82834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82826 and 82834.

How to find the GCF of 82826 and 82834?

We will first find the prime factorization of 82826 and 82834. After we will calculate the factors of 82826 and 82834 and find the biggest common factor number .

Step-1: Prime Factorization of 82826

Prime factors of 82826 are 2, 41413. Prime factorization of 82826 in exponential form is:

82826 = 2¹ × 41413¹

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 82826

List of positive integer factors of 82826 that divides 82826 without a remainder.

1, 2, 41413

Step-4: Factors of 82834

List of positive integer factors of 82834 that divides 82826 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82826 and 82834. The biggest common factor number is the GCF number.
So the greatest common factor 82826 and 82834 is 2.

Also check out the Least Common Multiple of 82826 and 82834