What is the Greatest Common Factor of 11830 and 11842?

Greatest common factor (GCF) of 11830 and 11842 is 2.

GCF(11830,11842) = 2

We will now calculate the prime factors of 11830 and 11842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11830 and 11842.

How to find the GCF of 11830 and 11842?

We will first find the prime factorization of 11830 and 11842. After we will calculate the factors of 11830 and 11842 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11842

Prime factors of 11842 are 2, 31, 191. Prime factorization of 11842 in exponential form is:

11842 = 2¹ × 31¹ × 191¹

Step-3: Factors of 11830

List of positive integer factors of 11830 that divides 11830 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

Step-4: Factors of 11842

List of positive integer factors of 11842 that divides 11830 without a remainder.

1, 2, 31, 62, 191, 382, 5921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11830 and 11842. The biggest common factor number is the GCF number.
So the greatest common factor 11830 and 11842 is 2.

Also check out the Least Common Multiple of 11830 and 11842