What is the Greatest Common Factor of 13890 and 13906?

Greatest common factor (GCF) of 13890 and 13906 is 2.

GCF(13890,13906) = 2

We will now calculate the prime factors of 13890 and 13906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13890 and 13906.

How to find the GCF of 13890 and 13906?

We will first find the prime factorization of 13890 and 13906. After we will calculate the factors of 13890 and 13906 and find the biggest common factor number .

Step-1: Prime Factorization of 13890

Prime factors of 13890 are 2, 3, 5, 463. Prime factorization of 13890 in exponential form is:

13890 = 2¹ × 3¹ × 5¹ × 463¹

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 13890

List of positive integer factors of 13890 that divides 13890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 463, 926, 1389, 2315, 2778, 4630, 6945

Step-4: Factors of 13906

List of positive integer factors of 13906 that divides 13890 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13890 and 13906. The biggest common factor number is the GCF number.
So the greatest common factor 13890 and 13906 is 2.

Also check out the Least Common Multiple of 13890 and 13906