What is the Greatest Common Factor of 11380 and 11384?

Greatest common factor (GCF) of 11380 and 11384 is 4.

GCF(11380,11384) = 4

We will now calculate the prime factors of 11380 and 11384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11380 and 11384.

How to find the GCF of 11380 and 11384?

We will first find the prime factorization of 11380 and 11384. After we will calculate the factors of 11380 and 11384 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 11384

Prime factors of 11384 are 2, 1423. Prime factorization of 11384 in exponential form is:

11384 = 2³ × 1423¹

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 11384

List of positive integer factors of 11384 that divides 11380 without a remainder.

1, 2, 4, 8, 1423, 2846, 5692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11380 and 11384. The biggest common factor number is the GCF number.
So the greatest common factor 11380 and 11384 is 4.

Also check out the Least Common Multiple of 11380 and 11384