What is the Greatest Common Factor of 11441 and 11448?

Greatest common factor (GCF) of 11441 and 11448 is 1.

GCF(11441,11448) = 1

We will now calculate the prime factors of 11441 and 11448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11441 and 11448.

How to find the GCF of 11441 and 11448?

We will first find the prime factorization of 11441 and 11448. After we will calculate the factors of 11441 and 11448 and find the biggest common factor number .

Step-1: Prime Factorization of 11441

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

11441 = 17¹ × 673¹

Step-2: Prime Factorization of 11448

Prime factors of 11448 are 2, 3, 53. Prime factorization of 11448 in exponential form is:

11448 = 2³ × 3³ × 53¹

Step-3: Factors of 11441

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

1, 17, 673

Step-4: Factors of 11448

List of positive integer factors of 11448 that divides 11441 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 53, 54, 72, 106, 108, 159, 212, 216, 318, 424, 477, 636, 954, 1272, 1431, 1908, 2862, 3816, 5724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11441 and 11448. The biggest common factor number is the GCF number.
So the greatest common factor 11441 and 11448 is 1.

Also check out the Least Common Multiple of 11441 and 11448