What is the Greatest Common Factor of 30822 and 30836?

Greatest common factor (GCF) of 30822 and 30836 is 2.

GCF(30822,30836) = 2

We will now calculate the prime factors of 30822 and 30836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30822 and 30836.

How to find the GCF of 30822 and 30836?

We will first find the prime factorization of 30822 and 30836. After we will calculate the factors of 30822 and 30836 and find the biggest common factor number .

Step-1: Prime Factorization of 30822

Prime factors of 30822 are 2, 3, 11, 467. Prime factorization of 30822 in exponential form is:

30822 = 2¹ × 3¹ × 11¹ × 467¹

Step-2: Prime Factorization of 30836

Prime factors of 30836 are 2, 13, 593. Prime factorization of 30836 in exponential form is:

30836 = 2² × 13¹ × 593¹

Step-3: Factors of 30822

List of positive integer factors of 30822 that divides 30822 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 467, 934, 1401, 2802, 5137, 10274, 15411

Step-4: Factors of 30836

List of positive integer factors of 30836 that divides 30822 without a remainder.

1, 2, 4, 13, 26, 52, 593, 1186, 2372, 7709, 15418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30822 and 30836. The biggest common factor number is the GCF number.
So the greatest common factor 30822 and 30836 is 2.

Also check out the Least Common Multiple of 30822 and 30836