What is the Greatest Common Factor of 11431 and 11449?

Greatest common factor (GCF) of 11431 and 11449 is 1.

GCF(11431,11449) = 1

We will now calculate the prime factors of 11431 and 11449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11431 and 11449.

How to find the GCF of 11431 and 11449?

We will first find the prime factorization of 11431 and 11449. After we will calculate the factors of 11431 and 11449 and find the biggest common factor number .

Step-1: Prime Factorization of 11431

Prime factors of 11431 are 7, 23, 71. Prime factorization of 11431 in exponential form is:

11431 = 7¹ × 23¹ × 71¹

Step-2: Prime Factorization of 11449

Prime factors of 11449 are 107. Prime factorization of 11449 in exponential form is:

11449 = 107²

Step-3: Factors of 11431

List of positive integer factors of 11431 that divides 11431 without a remainder.

1, 7, 23, 71, 161, 497, 1633

Step-4: Factors of 11449

List of positive integer factors of 11449 that divides 11431 without a remainder.

1, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11431 and 11449. The biggest common factor number is the GCF number.
So the greatest common factor 11431 and 11449 is 1.

Also check out the Least Common Multiple of 11431 and 11449