What is the Greatest Common Factor of 82822 and 82830?

Greatest common factor (GCF) of 82822 and 82830 is 2.

GCF(82822,82830) = 2

We will now calculate the prime factors of 82822 and 82830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82822 and 82830.

How to find the GCF of 82822 and 82830?

We will first find the prime factorization of 82822 and 82830. After we will calculate the factors of 82822 and 82830 and find the biggest common factor number .

Step-1: Prime Factorization of 82822

Prime factors of 82822 are 2, 41411. Prime factorization of 82822 in exponential form is:

82822 = 2¹ × 41411¹

Step-2: Prime Factorization of 82830

Prime factors of 82830 are 2, 3, 5, 11, 251. Prime factorization of 82830 in exponential form is:

82830 = 2¹ × 3¹ × 5¹ × 11¹ × 251¹

Step-3: Factors of 82822

List of positive integer factors of 82822 that divides 82822 without a remainder.

1, 2, 41411

Step-4: Factors of 82830

List of positive integer factors of 82830 that divides 82822 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 251, 330, 502, 753, 1255, 1506, 2510, 2761, 3765, 5522, 7530, 8283, 13805, 16566, 27610, 41415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82822 and 82830. The biggest common factor number is the GCF number.
So the greatest common factor 82822 and 82830 is 2.

Also check out the Least Common Multiple of 82822 and 82830