What is the Greatest Common Factor of 11441 and 11458?

Greatest common factor (GCF) of 11441 and 11458 is 17.

GCF(11441,11458) = 17

We will now calculate the prime factors of 11441 and 11458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11441 and 11458.

How to find the GCF of 11441 and 11458?

We will first find the prime factorization of 11441 and 11458. After we will calculate the factors of 11441 and 11458 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 11458

Prime factors of 11458 are 2, 17, 337. Prime factorization of 11458 in exponential form is:

11458 = 2¹ × 17¹ × 337¹

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 11458

List of positive integer factors of 11458 that divides 11441 without a remainder.

1, 2, 17, 34, 337, 674, 5729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11441 and 11458. The biggest common factor number is the GCF number.
So the greatest common factor 11441 and 11458 is 17.

Also check out the Least Common Multiple of 11441 and 11458