What is the Greatest Common Factor of 11832 and 11849?

Greatest common factor (GCF) of 11832 and 11849 is 17.

GCF(11832,11849) = 17

We will now calculate the prime factors of 11832 and 11849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11832 and 11849.

How to find the GCF of 11832 and 11849?

We will first find the prime factorization of 11832 and 11849. After we will calculate the factors of 11832 and 11849 and find the biggest common factor number .

Step-1: Prime Factorization of 11832

Prime factors of 11832 are 2, 3, 17, 29. Prime factorization of 11832 in exponential form is:

11832 = 2³ × 3¹ × 17¹ × 29¹

Step-2: Prime Factorization of 11849

Prime factors of 11849 are 17, 41. Prime factorization of 11849 in exponential form is:

11849 = 17² × 41¹

Step-3: Factors of 11832

List of positive integer factors of 11832 that divides 11832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 29, 34, 51, 58, 68, 87, 102, 116, 136, 174, 204, 232, 348, 408, 493, 696, 986, 1479, 1972, 2958, 3944, 5916

Step-4: Factors of 11849

List of positive integer factors of 11849 that divides 11832 without a remainder.

1, 17, 41, 289, 697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11832 and 11849. The biggest common factor number is the GCF number.
So the greatest common factor 11832 and 11849 is 17.

Also check out the Least Common Multiple of 11832 and 11849