What is the Greatest Common Factor of 11438 and 11456?

Greatest common factor (GCF) of 11438 and 11456 is 2.

GCF(11438,11456) = 2

We will now calculate the prime factors of 11438 and 11456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11438 and 11456.

How to find the GCF of 11438 and 11456?

We will first find the prime factorization of 11438 and 11456. After we will calculate the factors of 11438 and 11456 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11456

Prime factors of 11456 are 2, 179. Prime factorization of 11456 in exponential form is:

11456 = 2⁶ × 179¹

Step-3: Factors of 11438

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

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

Step-4: Factors of 11456

List of positive integer factors of 11456 that divides 11438 without a remainder.

1, 2, 4, 8, 16, 32, 64, 179, 358, 716, 1432, 2864, 5728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11438 and 11456. The biggest common factor number is the GCF number.
So the greatest common factor 11438 and 11456 is 2.

Also check out the Least Common Multiple of 11438 and 11456