What is the Greatest Common Factor of 11392 and 11408?

Greatest common factor (GCF) of 11392 and 11408 is 16.

GCF(11392,11408) = 16

We will now calculate the prime factors of 11392 and 11408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11392 and 11408.

How to find the GCF of 11392 and 11408?

We will first find the prime factorization of 11392 and 11408. After we will calculate the factors of 11392 and 11408 and find the biggest common factor number .

Step-1: Prime Factorization of 11392

Prime factors of 11392 are 2, 89. Prime factorization of 11392 in exponential form is:

11392 = 2⁷ × 89¹

Step-2: Prime Factorization of 11408

Prime factors of 11408 are 2, 23, 31. Prime factorization of 11408 in exponential form is:

11408 = 2⁴ × 23¹ × 31¹

Step-3: Factors of 11392

List of positive integer factors of 11392 that divides 11392 without a remainder.

1, 2, 4, 8, 16, 32, 64, 89, 128, 178, 356, 712, 1424, 2848, 5696

Step-4: Factors of 11408

List of positive integer factors of 11408 that divides 11392 without a remainder.

1, 2, 4, 8, 16, 23, 31, 46, 62, 92, 124, 184, 248, 368, 496, 713, 1426, 2852, 5704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11392 and 11408. The biggest common factor number is the GCF number.
So the greatest common factor 11392 and 11408 is 16.

Also check out the Least Common Multiple of 11392 and 11408