What is the Greatest Common Factor of 11380 and 11390?

Greatest common factor (GCF) of 11380 and 11390 is 10.

GCF(11380,11390) = 10

We will now calculate the prime factors of 11380 and 11390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11380 and 11390.

How to find the GCF of 11380 and 11390?

We will first find the prime factorization of 11380 and 11390. After we will calculate the factors of 11380 and 11390 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 11390

Prime factors of 11390 are 2, 5, 17, 67. Prime factorization of 11390 in exponential form is:

11390 = 2¹ × 5¹ × 17¹ × 67¹

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 11390

List of positive integer factors of 11390 that divides 11380 without a remainder.

1, 2, 5, 10, 17, 34, 67, 85, 134, 170, 335, 670, 1139, 2278, 5695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11380 and 11390. The biggest common factor number is the GCF number.
So the greatest common factor 11380 and 11390 is 10.

Also check out the Least Common Multiple of 11380 and 11390