What is the Greatest Common Factor of 11364 and 11376?

Greatest common factor (GCF) of 11364 and 11376 is 12.

GCF(11364,11376) = 12

We will now calculate the prime factors of 11364 and 11376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11364 and 11376.

How to find the GCF of 11364 and 11376?

We will first find the prime factorization of 11364 and 11376. After we will calculate the factors of 11364 and 11376 and find the biggest common factor number .

Step-1: Prime Factorization of 11364

Prime factors of 11364 are 2, 3, 947. Prime factorization of 11364 in exponential form is:

11364 = 2² × 3¹ × 947¹

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 11364

List of positive integer factors of 11364 that divides 11364 without a remainder.

1, 2, 3, 4, 6, 12, 947, 1894, 2841, 3788, 5682

Step-4: Factors of 11376

List of positive integer factors of 11376 that divides 11364 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 11364 and 11376. The biggest common factor number is the GCF number.
So the greatest common factor 11364 and 11376 is 12.

Also check out the Least Common Multiple of 11364 and 11376