What is the Greatest Common Factor of 11380 and 11396?

Greatest common factor (GCF) of 11380 and 11396 is 4.

GCF(11380,11396) = 4

We will now calculate the prime factors of 11380 and 11396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11380 and 11396.

How to find the GCF of 11380 and 11396?

We will first find the prime factorization of 11380 and 11396. After we will calculate the factors of 11380 and 11396 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 11396

Prime factors of 11396 are 2, 7, 11, 37. Prime factorization of 11396 in exponential form is:

11396 = 2² × 7¹ × 11¹ × 37¹

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 11396

List of positive integer factors of 11396 that divides 11380 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 37, 44, 74, 77, 148, 154, 259, 308, 407, 518, 814, 1036, 1628, 2849, 5698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11380 and 11396. The biggest common factor number is the GCF number.
So the greatest common factor 11380 and 11396 is 4.

Also check out the Least Common Multiple of 11380 and 11396