What is the Greatest Common Factor of 33774 and 33794?

Greatest common factor (GCF) of 33774 and 33794 is 2.

GCF(33774,33794) = 2

We will now calculate the prime factors of 33774 and 33794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33774 and 33794.

How to find the GCF of 33774 and 33794?

We will first find the prime factorization of 33774 and 33794. After we will calculate the factors of 33774 and 33794 and find the biggest common factor number .

Step-1: Prime Factorization of 33774

Prime factors of 33774 are 2, 3, 13, 433. Prime factorization of 33774 in exponential form is:

33774 = 2¹ × 3¹ × 13¹ × 433¹

Step-2: Prime Factorization of 33794

Prime factors of 33794 are 2, 61, 277. Prime factorization of 33794 in exponential form is:

33794 = 2¹ × 61¹ × 277¹

Step-3: Factors of 33774

List of positive integer factors of 33774 that divides 33774 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 433, 866, 1299, 2598, 5629, 11258, 16887

Step-4: Factors of 33794

List of positive integer factors of 33794 that divides 33774 without a remainder.

1, 2, 61, 122, 277, 554, 16897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33774 and 33794. The biggest common factor number is the GCF number.
So the greatest common factor 33774 and 33794 is 2.

Also check out the Least Common Multiple of 33774 and 33794