What is the Greatest Common Factor of 11826 and 11841?

Greatest common factor (GCF) of 11826 and 11841 is 3.

GCF(11826,11841) = 3

We will now calculate the prime factors of 11826 and 11841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11826 and 11841.

How to find the GCF of 11826 and 11841?

We will first find the prime factorization of 11826 and 11841. After we will calculate the factors of 11826 and 11841 and find the biggest common factor number .

Step-1: Prime Factorization of 11826

Prime factors of 11826 are 2, 3, 73. Prime factorization of 11826 in exponential form is:

11826 = 2¹ × 3⁴ × 73¹

Step-2: Prime Factorization of 11841

Prime factors of 11841 are 3, 3947. Prime factorization of 11841 in exponential form is:

11841 = 3¹ × 3947¹

Step-3: Factors of 11826

List of positive integer factors of 11826 that divides 11826 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 73, 81, 146, 162, 219, 438, 657, 1314, 1971, 3942, 5913

Step-4: Factors of 11841

List of positive integer factors of 11841 that divides 11826 without a remainder.

1, 3, 3947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11826 and 11841. The biggest common factor number is the GCF number.
So the greatest common factor 11826 and 11841 is 3.

Also check out the Least Common Multiple of 11826 and 11841