What is the Greatest Common Factor of 13890 and 13899?

Greatest common factor (GCF) of 13890 and 13899 is 3.

GCF(13890,13899) = 3

We will now calculate the prime factors of 13890 and 13899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13890 and 13899.

How to find the GCF of 13890 and 13899?

We will first find the prime factorization of 13890 and 13899. After we will calculate the factors of 13890 and 13899 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 13899

Prime factors of 13899 are 3, 41, 113. Prime factorization of 13899 in exponential form is:

13899 = 3¹ × 41¹ × 113¹

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 13899

List of positive integer factors of 13899 that divides 13890 without a remainder.

1, 3, 41, 113, 123, 339, 4633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13890 and 13899. The biggest common factor number is the GCF number.
So the greatest common factor 13890 and 13899 is 3.

Also check out the Least Common Multiple of 13890 and 13899