What is the Greatest Common Factor of 33874 and 33889?

Greatest common factor (GCF) of 33874 and 33889 is 1.

GCF(33874,33889) = 1

We will now calculate the prime factors of 33874 and 33889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33874 and 33889.

How to find the GCF of 33874 and 33889?

We will first find the prime factorization of 33874 and 33889. After we will calculate the factors of 33874 and 33889 and find the biggest common factor number .

Step-1: Prime Factorization of 33874

Prime factors of 33874 are 2, 16937. Prime factorization of 33874 in exponential form is:

33874 = 2¹ × 16937¹

Step-2: Prime Factorization of 33889

Prime factors of 33889 are 33889. Prime factorization of 33889 in exponential form is:

33889 = 33889¹

Step-3: Factors of 33874

List of positive integer factors of 33874 that divides 33874 without a remainder.

1, 2, 16937

Step-4: Factors of 33889

List of positive integer factors of 33889 that divides 33874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33874 and 33889. The biggest common factor number is the GCF number.
So the greatest common factor 33874 and 33889 is 1.

Also check out the Least Common Multiple of 33874 and 33889