What is the Greatest Common Factor of 11795 and 11810?

Greatest common factor (GCF) of 11795 and 11810 is 5.

GCF(11795,11810) = 5

We will now calculate the prime factors of 11795 and 11810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11795 and 11810.

How to find the GCF of 11795 and 11810?

We will first find the prime factorization of 11795 and 11810. After we will calculate the factors of 11795 and 11810 and find the biggest common factor number .

Step-1: Prime Factorization of 11795

Prime factors of 11795 are 5, 7, 337. Prime factorization of 11795 in exponential form is:

11795 = 5¹ × 7¹ × 337¹

Step-2: Prime Factorization of 11810

Prime factors of 11810 are 2, 5, 1181. Prime factorization of 11810 in exponential form is:

11810 = 2¹ × 5¹ × 1181¹

Step-3: Factors of 11795

List of positive integer factors of 11795 that divides 11795 without a remainder.

1, 5, 7, 35, 337, 1685, 2359

Step-4: Factors of 11810

List of positive integer factors of 11810 that divides 11795 without a remainder.

1, 2, 5, 10, 1181, 2362, 5905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11795 and 11810. The biggest common factor number is the GCF number.
So the greatest common factor 11795 and 11810 is 5.

Also check out the Least Common Multiple of 11795 and 11810