What is the Greatest Common Factor of 33808 and 33822?

Greatest common factor (GCF) of 33808 and 33822 is 2.

GCF(33808,33822) = 2

We will now calculate the prime factors of 33808 and 33822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33808 and 33822.

How to find the GCF of 33808 and 33822?

We will first find the prime factorization of 33808 and 33822. After we will calculate the factors of 33808 and 33822 and find the biggest common factor number .

Step-1: Prime Factorization of 33808

Prime factors of 33808 are 2, 2113. Prime factorization of 33808 in exponential form is:

33808 = 2⁴ × 2113¹

Step-2: 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-3: Factors of 33808

List of positive integer factors of 33808 that divides 33808 without a remainder.

1, 2, 4, 8, 16, 2113, 4226, 8452, 16904

Step-4: Factors of 33822

List of positive integer factors of 33822 that divides 33808 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33808 and 33822. The biggest common factor number is the GCF number.
So the greatest common factor 33808 and 33822 is 2.

Also check out the Least Common Multiple of 33808 and 33822