What is the Greatest Common Factor of 33798 and 33812?

Greatest common factor (GCF) of 33798 and 33812 is 2.

GCF(33798,33812) = 2

We will now calculate the prime factors of 33798 and 33812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33798 and 33812.

How to find the GCF of 33798 and 33812?

We will first find the prime factorization of 33798 and 33812. After we will calculate the factors of 33798 and 33812 and find the biggest common factor number .

Step-1: Prime Factorization of 33798

Prime factors of 33798 are 2, 3, 43, 131. Prime factorization of 33798 in exponential form is:

33798 = 2¹ × 3¹ × 43¹ × 131¹

Step-2: Prime Factorization of 33812

Prime factors of 33812 are 2, 79, 107. Prime factorization of 33812 in exponential form is:

33812 = 2² × 79¹ × 107¹

Step-3: Factors of 33798

List of positive integer factors of 33798 that divides 33798 without a remainder.

1, 2, 3, 6, 43, 86, 129, 131, 258, 262, 393, 786, 5633, 11266, 16899

Step-4: Factors of 33812

List of positive integer factors of 33812 that divides 33798 without a remainder.

1, 2, 4, 79, 107, 158, 214, 316, 428, 8453, 16906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33798 and 33812. The biggest common factor number is the GCF number.
So the greatest common factor 33798 and 33812 is 2.

Also check out the Least Common Multiple of 33798 and 33812