What is the Greatest Common Factor of 13904 and 13922?

Greatest common factor (GCF) of 13904 and 13922 is 2.

GCF(13904,13922) = 2

We will now calculate the prime factors of 13904 and 13922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13904 and 13922.

How to find the GCF of 13904 and 13922?

We will first find the prime factorization of 13904 and 13922. After we will calculate the factors of 13904 and 13922 and find the biggest common factor number .

Step-1: Prime Factorization of 13904

Prime factors of 13904 are 2, 11, 79. Prime factorization of 13904 in exponential form is:

13904 = 2⁴ × 11¹ × 79¹

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 13904

List of positive integer factors of 13904 that divides 13904 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 79, 88, 158, 176, 316, 632, 869, 1264, 1738, 3476, 6952

Step-4: Factors of 13922

List of positive integer factors of 13922 that divides 13904 without a remainder.

1, 2, 6961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13904 and 13922. The biggest common factor number is the GCF number.
So the greatest common factor 13904 and 13922 is 2.

Also check out the Least Common Multiple of 13904 and 13922