What is the Greatest Common Factor of 33921 and 33938?

Greatest common factor (GCF) of 33921 and 33938 is 1.

GCF(33921,33938) = 1

We will now calculate the prime factors of 33921 and 33938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33921 and 33938.

How to find the GCF of 33921 and 33938?

We will first find the prime factorization of 33921 and 33938. After we will calculate the factors of 33921 and 33938 and find the biggest common factor number .

Step-1: Prime Factorization of 33921

Prime factors of 33921 are 3, 3769. Prime factorization of 33921 in exponential form is:

33921 = 3² × 3769¹

Step-2: Prime Factorization of 33938

Prime factors of 33938 are 2, 71, 239. Prime factorization of 33938 in exponential form is:

33938 = 2¹ × 71¹ × 239¹

Step-3: Factors of 33921

List of positive integer factors of 33921 that divides 33921 without a remainder.

1, 3, 9, 3769, 11307

Step-4: Factors of 33938

List of positive integer factors of 33938 that divides 33921 without a remainder.

1, 2, 71, 142, 239, 478, 16969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33921 and 33938. The biggest common factor number is the GCF number.
So the greatest common factor 33921 and 33938 is 1.

Also check out the Least Common Multiple of 33921 and 33938