What is the Greatest Common Factor of 13880 and 13899?

Greatest common factor (GCF) of 13880 and 13899 is 1.

GCF(13880,13899) = 1

We will now calculate the prime factors of 13880 and 13899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13880 and 13899.

How to find the GCF of 13880 and 13899?

We will first find the prime factorization of 13880 and 13899. After we will calculate the factors of 13880 and 13899 and find the biggest common factor number .

Step-1: Prime Factorization of 13880

Prime factors of 13880 are 2, 5, 347. Prime factorization of 13880 in exponential form is:

13880 = 2³ × 5¹ × 347¹

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 13880

List of positive integer factors of 13880 that divides 13880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 347, 694, 1388, 1735, 2776, 3470, 6940

Step-4: Factors of 13899

List of positive integer factors of 13899 that divides 13880 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13880 and 13899. The biggest common factor number is the GCF number.
So the greatest common factor 13880 and 13899 is 1.

Also check out the Least Common Multiple of 13880 and 13899