What is the Greatest Common Factor of 11388 and 11408?

Greatest common factor (GCF) of 11388 and 11408 is 4.

GCF(11388,11408) = 4

We will now calculate the prime factors of 11388 and 11408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11388 and 11408.

How to find the GCF of 11388 and 11408?

We will first find the prime factorization of 11388 and 11408. After we will calculate the factors of 11388 and 11408 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 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 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 11408

List of positive integer factors of 11408 that divides 11388 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 11388 and 11408. The biggest common factor number is the GCF number.
So the greatest common factor 11388 and 11408 is 4.

Also check out the Least Common Multiple of 11388 and 11408