What is the Greatest Common Factor of 33822 and 33830?

Greatest common factor (GCF) of 33822 and 33830 is 2.

GCF(33822,33830) = 2

We will now calculate the prime factors of 33822 and 33830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33822 and 33830.

How to find the GCF of 33822 and 33830?

We will first find the prime factorization of 33822 and 33830. After we will calculate the factors of 33822 and 33830 and find the biggest common factor number .

Step-1: Prime Factorization of 33822

Prime factors of 33822 are 2, 3, 1879. Prime factorization of 33822 in exponential form is:

33822 = 2¹ × 3² × 1879¹

Step-2: Prime Factorization of 33830

Prime factors of 33830 are 2, 5, 17, 199. Prime factorization of 33830 in exponential form is:

33830 = 2¹ × 5¹ × 17¹ × 199¹

Step-3: Factors of 33822

List of positive integer factors of 33822 that divides 33822 without a remainder.

1, 2, 3, 6, 9, 18, 1879, 3758, 5637, 11274, 16911

Step-4: Factors of 33830

List of positive integer factors of 33830 that divides 33822 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 199, 398, 995, 1990, 3383, 6766, 16915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33822 and 33830. The biggest common factor number is the GCF number.
So the greatest common factor 33822 and 33830 is 2.

Also check out the Least Common Multiple of 33822 and 33830