What is the Greatest Common Factor of 16914 and 16921?

Greatest common factor (GCF) of 16914 and 16921 is 1.

GCF(16914,16921) = 1

We will now calculate the prime factors of 16914 and 16921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16914 and 16921.

How to find the GCF of 16914 and 16921?

We will first find the prime factorization of 16914 and 16921. After we will calculate the factors of 16914 and 16921 and find the biggest common factor number .

Step-1: Prime Factorization of 16914

Prime factors of 16914 are 2, 3, 2819. Prime factorization of 16914 in exponential form is:

16914 = 2¹ × 3¹ × 2819¹

Step-2: Prime Factorization of 16921

Prime factors of 16921 are 16921. Prime factorization of 16921 in exponential form is:

16921 = 16921¹

Step-3: Factors of 16914

List of positive integer factors of 16914 that divides 16914 without a remainder.

1, 2, 3, 6, 2819, 5638, 8457

Step-4: Factors of 16921

List of positive integer factors of 16921 that divides 16914 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16914 and 16921. The biggest common factor number is the GCF number.
So the greatest common factor 16914 and 16921 is 1.

Also check out the Least Common Multiple of 16914 and 16921