What is the Greatest Common Factor of 11823 and 11830?

Greatest common factor (GCF) of 11823 and 11830 is 7.

GCF(11823,11830) = 7

We will now calculate the prime factors of 11823 and 11830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11823 and 11830.

How to find the GCF of 11823 and 11830?

We will first find the prime factorization of 11823 and 11830. After we will calculate the factors of 11823 and 11830 and find the biggest common factor number .

Step-1: Prime Factorization of 11823

Prime factors of 11823 are 3, 7, 563. Prime factorization of 11823 in exponential form is:

11823 = 3¹ × 7¹ × 563¹

Step-2: Prime Factorization of 11830

Prime factors of 11830 are 2, 5, 7, 13. Prime factorization of 11830 in exponential form is:

11830 = 2¹ × 5¹ × 7¹ × 13²

Step-3: Factors of 11823

List of positive integer factors of 11823 that divides 11823 without a remainder.

1, 3, 7, 21, 563, 1689, 3941

Step-4: Factors of 11830

List of positive integer factors of 11830 that divides 11823 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 169, 182, 338, 455, 845, 910, 1183, 1690, 2366, 5915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11823 and 11830. The biggest common factor number is the GCF number.
So the greatest common factor 11823 and 11830 is 7.

Also check out the Least Common Multiple of 11823 and 11830