What is the Greatest Common Factor of 11431 and 11438?

Greatest common factor (GCF) of 11431 and 11438 is 7.

GCF(11431,11438) = 7

We will now calculate the prime factors of 11431 and 11438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11431 and 11438.

How to find the GCF of 11431 and 11438?

We will first find the prime factorization of 11431 and 11438. After we will calculate the factors of 11431 and 11438 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 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 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 11438

List of positive integer factors of 11438 that divides 11431 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 11431 and 11438. The biggest common factor number is the GCF number.
So the greatest common factor 11431 and 11438 is 7.

Also check out the Least Common Multiple of 11431 and 11438