What is the Greatest Common Factor of 11380 and 11388?

Greatest common factor (GCF) of 11380 and 11388 is 4.

GCF(11380,11388) = 4

We will now calculate the prime factors of 11380 and 11388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11380 and 11388.

How to find the GCF of 11380 and 11388?

We will first find the prime factorization of 11380 and 11388. After we will calculate the factors of 11380 and 11388 and find the biggest common factor number .

Step-1: Prime Factorization of 11380

Prime factors of 11380 are 2, 5, 569. Prime factorization of 11380 in exponential form is:

11380 = 2² × 5¹ × 569¹

Step-2: 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-3: Factors of 11380

List of positive integer factors of 11380 that divides 11380 without a remainder.

1, 2, 4, 5, 10, 20, 569, 1138, 2276, 2845, 5690

Step-4: Factors of 11388

List of positive integer factors of 11388 that divides 11380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11380 and 11388. The biggest common factor number is the GCF number.
So the greatest common factor 11380 and 11388 is 4.

Also check out the Least Common Multiple of 11380 and 11388