What is the Greatest Common Factor of 33914 and 33921?

Greatest common factor (GCF) of 33914 and 33921 is 1.

GCF(33914,33921) = 1

We will now calculate the prime factors of 33914 and 33921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33914 and 33921.

How to find the GCF of 33914 and 33921?

We will first find the prime factorization of 33914 and 33921. After we will calculate the factors of 33914 and 33921 and find the biggest common factor number .

Step-1: Prime Factorization of 33914

Prime factors of 33914 are 2, 31, 547. Prime factorization of 33914 in exponential form is:

33914 = 2¹ × 31¹ × 547¹

Step-2: Prime Factorization of 33921

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

33921 = 3² × 3769¹

Step-3: Factors of 33914

List of positive integer factors of 33914 that divides 33914 without a remainder.

1, 2, 31, 62, 547, 1094, 16957

Step-4: Factors of 33921

List of positive integer factors of 33921 that divides 33914 without a remainder.

1, 3, 9, 3769, 11307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33914 and 33921. The biggest common factor number is the GCF number.
So the greatest common factor 33914 and 33921 is 1.

Also check out the Least Common Multiple of 33914 and 33921