What is the Greatest Common Factor of 13890 and 13910?

Greatest common factor (GCF) of 13890 and 13910 is 10.

GCF(13890,13910) = 10

We will now calculate the prime factors of 13890 and 13910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13890 and 13910.

How to find the GCF of 13890 and 13910?

We will first find the prime factorization of 13890 and 13910. After we will calculate the factors of 13890 and 13910 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 13910

Prime factors of 13910 are 2, 5, 13, 107. Prime factorization of 13910 in exponential form is:

13910 = 2¹ × 5¹ × 13¹ × 107¹

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 13910

List of positive integer factors of 13910 that divides 13890 without a remainder.

1, 2, 5, 10, 13, 26, 65, 107, 130, 214, 535, 1070, 1391, 2782, 6955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13890 and 13910. The biggest common factor number is the GCF number.
So the greatest common factor 13890 and 13910 is 10.

Also check out the Least Common Multiple of 13890 and 13910