What is the Greatest Common Factor of 13902 and 13906?

Greatest common factor (GCF) of 13902 and 13906 is 2.

GCF(13902,13906) = 2

We will now calculate the prime factors of 13902 and 13906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13902 and 13906.

How to find the GCF of 13902 and 13906?

We will first find the prime factorization of 13902 and 13906. After we will calculate the factors of 13902 and 13906 and find the biggest common factor number .

Step-1: Prime Factorization of 13902

Prime factors of 13902 are 2, 3, 7, 331. Prime factorization of 13902 in exponential form is:

13902 = 2¹ × 3¹ × 7¹ × 331¹

Step-2: Prime Factorization of 13906

Prime factors of 13906 are 2, 17, 409. Prime factorization of 13906 in exponential form is:

13906 = 2¹ × 17¹ × 409¹

Step-3: Factors of 13902

List of positive integer factors of 13902 that divides 13902 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 331, 662, 993, 1986, 2317, 4634, 6951

Step-4: Factors of 13906

List of positive integer factors of 13906 that divides 13902 without a remainder.

1, 2, 17, 34, 409, 818, 6953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13902 and 13906. The biggest common factor number is the GCF number.
So the greatest common factor 13902 and 13906 is 2.

Also check out the Least Common Multiple of 13902 and 13906