What is the Greatest Common Factor of 11388 and 11392?

Greatest common factor (GCF) of 11388 and 11392 is 4.

GCF(11388,11392) = 4

We will now calculate the prime factors of 11388 and 11392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11388 and 11392.

How to find the GCF of 11388 and 11392?

We will first find the prime factorization of 11388 and 11392. After we will calculate the factors of 11388 and 11392 and find the biggest common factor number .

Step-1: Prime Factorization of 11388

Prime factors of 11388 are 2, 3, 13, 73. Prime factorization of 11388 in exponential form is:

11388 = 2² × 3¹ × 13¹ × 73¹

Step-2: Prime Factorization of 11392

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

11392 = 2⁷ × 89¹

Step-3: Factors of 11388

List of positive integer factors of 11388 that divides 11388 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 73, 78, 146, 156, 219, 292, 438, 876, 949, 1898, 2847, 3796, 5694

Step-4: Factors of 11392

List of positive integer factors of 11392 that divides 11388 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11388 and 11392. The biggest common factor number is the GCF number.
So the greatest common factor 11388 and 11392 is 4.

Also check out the Least Common Multiple of 11388 and 11392