What is the Greatest Common Factor of 11826 and 11844?

Greatest common factor (GCF) of 11826 and 11844 is 18.

GCF(11826,11844) = 18

We will now calculate the prime factors of 11826 and 11844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11826 and 11844.

How to find the GCF of 11826 and 11844?

We will first find the prime factorization of 11826 and 11844. After we will calculate the factors of 11826 and 11844 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 11844

Prime factors of 11844 are 2, 3, 7, 47. Prime factorization of 11844 in exponential form is:

11844 = 2² × 3² × 7¹ × 47¹

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 11844

List of positive integer factors of 11844 that divides 11826 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 47, 63, 84, 94, 126, 141, 188, 252, 282, 329, 423, 564, 658, 846, 987, 1316, 1692, 1974, 2961, 3948, 5922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11826 and 11844. The biggest common factor number is the GCF number.
So the greatest common factor 11826 and 11844 is 18.

Also check out the Least Common Multiple of 11826 and 11844