What is the Greatest Common Factor of 33758 and 33774?

Greatest common factor (GCF) of 33758 and 33774 is 2.

GCF(33758,33774) = 2

We will now calculate the prime factors of 33758 and 33774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33758 and 33774.

How to find the GCF of 33758 and 33774?

We will first find the prime factorization of 33758 and 33774. After we will calculate the factors of 33758 and 33774 and find the biggest common factor number .

Step-1: Prime Factorization of 33758

Prime factors of 33758 are 2, 16879. Prime factorization of 33758 in exponential form is:

33758 = 2¹ × 16879¹

Step-2: 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-3: Factors of 33758

List of positive integer factors of 33758 that divides 33758 without a remainder.

1, 2, 16879

Step-4: Factors of 33774

List of positive integer factors of 33774 that divides 33758 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33758 and 33774. The biggest common factor number is the GCF number.
So the greatest common factor 33758 and 33774 is 2.

Also check out the Least Common Multiple of 33758 and 33774