What is the Greatest Common Factor of 13914 and 13922?

Greatest common factor (GCF) of 13914 and 13922 is 2.

GCF(13914,13922) = 2

We will now calculate the prime factors of 13914 and 13922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13914 and 13922.

How to find the GCF of 13914 and 13922?

We will first find the prime factorization of 13914 and 13922. After we will calculate the factors of 13914 and 13922 and find the biggest common factor number .

Step-1: Prime Factorization of 13914

Prime factors of 13914 are 2, 3, 773. Prime factorization of 13914 in exponential form is:

13914 = 2¹ × 3² × 773¹

Step-2: Prime Factorization of 13922

Prime factors of 13922 are 2, 6961. Prime factorization of 13922 in exponential form is:

13922 = 2¹ × 6961¹

Step-3: Factors of 13914

List of positive integer factors of 13914 that divides 13914 without a remainder.

1, 2, 3, 6, 9, 18, 773, 1546, 2319, 4638, 6957

Step-4: Factors of 13922

List of positive integer factors of 13922 that divides 13914 without a remainder.

1, 2, 6961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13914 and 13922. The biggest common factor number is the GCF number.
So the greatest common factor 13914 and 13922 is 2.

Also check out the Least Common Multiple of 13914 and 13922