What is the Greatest Common Factor of 33784 and 33798?

Greatest common factor (GCF) of 33784 and 33798 is 2.

GCF(33784,33798) = 2

We will now calculate the prime factors of 33784 and 33798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33784 and 33798.

How to find the GCF of 33784 and 33798?

We will first find the prime factorization of 33784 and 33798. After we will calculate the factors of 33784 and 33798 and find the biggest common factor number .

Step-1: Prime Factorization of 33784

Prime factors of 33784 are 2, 41, 103. Prime factorization of 33784 in exponential form is:

33784 = 2³ × 41¹ × 103¹

Step-2: 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-3: Factors of 33784

List of positive integer factors of 33784 that divides 33784 without a remainder.

1, 2, 4, 8, 41, 82, 103, 164, 206, 328, 412, 824, 4223, 8446, 16892

Step-4: Factors of 33798

List of positive integer factors of 33798 that divides 33784 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33784 and 33798. The biggest common factor number is the GCF number.
So the greatest common factor 33784 and 33798 is 2.

Also check out the Least Common Multiple of 33784 and 33798