What is the Greatest Common Factor of 11423 and 11438?

Greatest common factor (GCF) of 11423 and 11438 is 1.

GCF(11423,11438) = 1

We will now calculate the prime factors of 11423 and 11438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11423 and 11438.

How to find the GCF of 11423 and 11438?

We will first find the prime factorization of 11423 and 11438. After we will calculate the factors of 11423 and 11438 and find the biggest common factor number .

Step-1: Prime Factorization of 11423

Prime factors of 11423 are 11423. Prime factorization of 11423 in exponential form is:

11423 = 11423¹

Step-2: Prime Factorization of 11438

Prime factors of 11438 are 2, 7, 19, 43. Prime factorization of 11438 in exponential form is:

11438 = 2¹ × 7¹ × 19¹ × 43¹

Step-3: Factors of 11423

List of positive integer factors of 11423 that divides 11423 without a remainder.

Step-4: Factors of 11438

List of positive integer factors of 11438 that divides 11423 without a remainder.

1, 2, 7, 14, 19, 38, 43, 86, 133, 266, 301, 602, 817, 1634, 5719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11423 and 11438. The biggest common factor number is the GCF number.
So the greatest common factor 11423 and 11438 is 1.

Also check out the Least Common Multiple of 11423 and 11438