What is the Greatest Common Factor of 11424 and 11441?

Greatest common factor (GCF) of 11424 and 11441 is 17.

GCF(11424,11441) = 17

We will now calculate the prime factors of 11424 and 11441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11424 and 11441.

How to find the GCF of 11424 and 11441?

We will first find the prime factorization of 11424 and 11441. After we will calculate the factors of 11424 and 11441 and find the biggest common factor number .

Step-1: Prime Factorization of 11424

Prime factors of 11424 are 2, 3, 7, 17. Prime factorization of 11424 in exponential form is:

11424 = 2⁵ × 3¹ × 7¹ × 17¹

Step-2: Prime Factorization of 11441

Prime factors of 11441 are 17, 673. Prime factorization of 11441 in exponential form is:

11441 = 17¹ × 673¹

Step-3: Factors of 11424

List of positive integer factors of 11424 that divides 11424 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 51, 56, 68, 84, 96, 102, 112, 119, 136, 168, 204, 224, 238, 272, 336, 357, 408, 476, 544, 672, 714, 816, 952, 1428, 1632, 1904, 2856, 3808, 5712

Step-4: Factors of 11441

List of positive integer factors of 11441 that divides 11424 without a remainder.

1, 17, 673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11424 and 11441. The biggest common factor number is the GCF number.
So the greatest common factor 11424 and 11441 is 17.

Also check out the Least Common Multiple of 11424 and 11441