What is the Greatest Common Factor of 13888 and 13902?

Greatest common factor (GCF) of 13888 and 13902 is 14.

GCF(13888,13902) = 14

We will now calculate the prime factors of 13888 and 13902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13888 and 13902.

How to find the GCF of 13888 and 13902?

We will first find the prime factorization of 13888 and 13902. After we will calculate the factors of 13888 and 13902 and find the biggest common factor number .

Step-1: Prime Factorization of 13888

Prime factors of 13888 are 2, 7, 31. Prime factorization of 13888 in exponential form is:

13888 = 2⁶ × 7¹ × 31¹

Step-2: 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-3: Factors of 13888

List of positive integer factors of 13888 that divides 13888 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 64, 112, 124, 217, 224, 248, 434, 448, 496, 868, 992, 1736, 1984, 3472, 6944

Step-4: Factors of 13902

List of positive integer factors of 13902 that divides 13888 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13888 and 13902. The biggest common factor number is the GCF number.
So the greatest common factor 13888 and 13902 is 14.

Also check out the Least Common Multiple of 13888 and 13902