What is the Greatest Common Factor of 33774 and 33791?

Greatest common factor (GCF) of 33774 and 33791 is 1.

GCF(33774,33791) = 1

We will now calculate the prime factors of 33774 and 33791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33774 and 33791.

How to find the GCF of 33774 and 33791?

We will first find the prime factorization of 33774 and 33791. After we will calculate the factors of 33774 and 33791 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 33791

Prime factors of 33791 are 33791. Prime factorization of 33791 in exponential form is:

33791 = 33791¹

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 33791

List of positive integer factors of 33791 that divides 33774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33774 and 33791. The biggest common factor number is the GCF number.
So the greatest common factor 33774 and 33791 is 1.

Also check out the Least Common Multiple of 33774 and 33791