What is the Greatest Common Factor of 13890 and 13904?

Greatest common factor (GCF) of 13890 and 13904 is 2.

GCF(13890,13904) = 2

We will now calculate the prime factors of 13890 and 13904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13890 and 13904.

How to find the GCF of 13890 and 13904?

We will first find the prime factorization of 13890 and 13904. After we will calculate the factors of 13890 and 13904 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 13904

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

13904 = 2⁴ × 11¹ × 79¹

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 13904

List of positive integer factors of 13904 that divides 13890 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13890 and 13904. The biggest common factor number is the GCF number.
So the greatest common factor 13890 and 13904 is 2.

Also check out the Least Common Multiple of 13890 and 13904