What is the Greatest Common Factor of 82820 and 82834?

Greatest common factor (GCF) of 82820 and 82834 is 2.

GCF(82820,82834) = 2

We will now calculate the prime factors of 82820 and 82834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82820 and 82834.

How to find the GCF of 82820 and 82834?

We will first find the prime factorization of 82820 and 82834. After we will calculate the factors of 82820 and 82834 and find the biggest common factor number .

Step-1: Prime Factorization of 82820

Prime factors of 82820 are 2, 5, 41, 101. Prime factorization of 82820 in exponential form is:

82820 = 2² × 5¹ × 41¹ × 101¹

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 82820

List of positive integer factors of 82820 that divides 82820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 101, 164, 202, 205, 404, 410, 505, 820, 1010, 2020, 4141, 8282, 16564, 20705, 41410

Step-4: Factors of 82834

List of positive integer factors of 82834 that divides 82820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82820 and 82834. The biggest common factor number is the GCF number.
So the greatest common factor 82820 and 82834 is 2.

Also check out the Least Common Multiple of 82820 and 82834