What is the Greatest Common Factor of 11376 and 11385?

Greatest common factor (GCF) of 11376 and 11385 is 9.

GCF(11376,11385) = 9

We will now calculate the prime factors of 11376 and 11385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11376 and 11385.

How to find the GCF of 11376 and 11385?

We will first find the prime factorization of 11376 and 11385. After we will calculate the factors of 11376 and 11385 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11385

Prime factors of 11385 are 3, 5, 11, 23. Prime factorization of 11385 in exponential form is:

11385 = 3² × 5¹ × 11¹ × 23¹

Step-3: Factors of 11376

List of positive integer factors of 11376 that divides 11376 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

Step-4: Factors of 11385

List of positive integer factors of 11385 that divides 11376 without a remainder.

1, 3, 5, 9, 11, 15, 23, 33, 45, 55, 69, 99, 115, 165, 207, 253, 345, 495, 759, 1035, 1265, 2277, 3795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11376 and 11385. The biggest common factor number is the GCF number.
So the greatest common factor 11376 and 11385 is 9.

Also check out the Least Common Multiple of 11376 and 11385