What is the Greatest Common Factor of 13915 and 13930?

Greatest common factor (GCF) of 13915 and 13930 is 5.

GCF(13915,13930) = 5

We will now calculate the prime factors of 13915 and 13930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13915 and 13930.

How to find the GCF of 13915 and 13930?

We will first find the prime factorization of 13915 and 13930. After we will calculate the factors of 13915 and 13930 and find the biggest common factor number .

Step-1: Prime Factorization of 13915

Prime factors of 13915 are 5, 11, 23. Prime factorization of 13915 in exponential form is:

13915 = 5¹ × 11² × 23¹

Step-2: Prime Factorization of 13930

Prime factors of 13930 are 2, 5, 7, 199. Prime factorization of 13930 in exponential form is:

13930 = 2¹ × 5¹ × 7¹ × 199¹

Step-3: Factors of 13915

List of positive integer factors of 13915 that divides 13915 without a remainder.

1, 5, 11, 23, 55, 115, 121, 253, 605, 1265, 2783

Step-4: Factors of 13930

List of positive integer factors of 13930 that divides 13915 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 199, 398, 995, 1393, 1990, 2786, 6965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13915 and 13930. The biggest common factor number is the GCF number.
So the greatest common factor 13915 and 13930 is 5.

Also check out the Least Common Multiple of 13915 and 13930