What is the Greatest Common Factor of 11440 and 11456?

Greatest common factor (GCF) of 11440 and 11456 is 16.

GCF(11440,11456) = 16

We will now calculate the prime factors of 11440 and 11456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11440 and 11456.

How to find the GCF of 11440 and 11456?

We will first find the prime factorization of 11440 and 11456. After we will calculate the factors of 11440 and 11456 and find the biggest common factor number .

Step-1: Prime Factorization of 11440

Prime factors of 11440 are 2, 5, 11, 13. Prime factorization of 11440 in exponential form is:

11440 = 2⁴ × 5¹ × 11¹ × 13¹

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 11440

List of positive integer factors of 11440 that divides 11440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 40, 44, 52, 55, 65, 80, 88, 104, 110, 130, 143, 176, 208, 220, 260, 286, 440, 520, 572, 715, 880, 1040, 1144, 1430, 2288, 2860, 5720

Step-4: Factors of 11456

List of positive integer factors of 11456 that divides 11440 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 11440 and 11456. The biggest common factor number is the GCF number.
So the greatest common factor 11440 and 11456 is 16.

Also check out the Least Common Multiple of 11440 and 11456