What is the Greatest Common Factor of 11366 and 11376?

Greatest common factor (GCF) of 11366 and 11376 is 2.

GCF(11366,11376) = 2

We will now calculate the prime factors of 11366 and 11376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11366 and 11376.

How to find the GCF of 11366 and 11376?

We will first find the prime factorization of 11366 and 11376. After we will calculate the factors of 11366 and 11376 and find the biggest common factor number .

Step-1: Prime Factorization of 11366

Prime factors of 11366 are 2, 5683. Prime factorization of 11366 in exponential form is:

11366 = 2¹ × 5683¹

Step-2: Prime Factorization of 11376

Prime factors of 11376 are 2, 3, 79. Prime factorization of 11376 in exponential form is:

11376 = 2⁴ × 3² × 79¹

Step-3: Factors of 11366

List of positive integer factors of 11366 that divides 11366 without a remainder.

1, 2, 5683

Step-4: Factors of 11376

List of positive integer factors of 11376 that divides 11366 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 79, 144, 158, 237, 316, 474, 632, 711, 948, 1264, 1422, 1896, 2844, 3792, 5688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11366 and 11376. The biggest common factor number is the GCF number.
So the greatest common factor 11366 and 11376 is 2.

Also check out the Least Common Multiple of 11366 and 11376