What is the Greatest Common Factor of 13840 and 13856?

Greatest common factor (GCF) of 13840 and 13856 is 16.

GCF(13840,13856) = 16

We will now calculate the prime factors of 13840 and 13856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13840 and 13856.

How to find the GCF of 13840 and 13856?

We will first find the prime factorization of 13840 and 13856. After we will calculate the factors of 13840 and 13856 and find the biggest common factor number .

Step-1: Prime Factorization of 13840

Prime factors of 13840 are 2, 5, 173. Prime factorization of 13840 in exponential form is:

13840 = 2⁴ × 5¹ × 173¹

Step-2: Prime Factorization of 13856

Prime factors of 13856 are 2, 433. Prime factorization of 13856 in exponential form is:

13856 = 2⁵ × 433¹

Step-3: Factors of 13840

List of positive integer factors of 13840 that divides 13840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 173, 346, 692, 865, 1384, 1730, 2768, 3460, 6920

Step-4: Factors of 13856

List of positive integer factors of 13856 that divides 13840 without a remainder.

1, 2, 4, 8, 16, 32, 433, 866, 1732, 3464, 6928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13840 and 13856. The biggest common factor number is the GCF number.
So the greatest common factor 13840 and 13856 is 16.

Also check out the Least Common Multiple of 13840 and 13856