What is the Greatest Common Factor of 11308 and 11320?

Greatest common factor (GCF) of 11308 and 11320 is 4.

GCF(11308,11320) = 4

We will now calculate the prime factors of 11308 and 11320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11308 and 11320.

How to find the GCF of 11308 and 11320?

We will first find the prime factorization of 11308 and 11320. After we will calculate the factors of 11308 and 11320 and find the biggest common factor number .

Step-1: Prime Factorization of 11308

Prime factors of 11308 are 2, 11, 257. Prime factorization of 11308 in exponential form is:

11308 = 2² × 11¹ × 257¹

Step-2: Prime Factorization of 11320

Prime factors of 11320 are 2, 5, 283. Prime factorization of 11320 in exponential form is:

11320 = 2³ × 5¹ × 283¹

Step-3: Factors of 11308

List of positive integer factors of 11308 that divides 11308 without a remainder.

1, 2, 4, 11, 22, 44, 257, 514, 1028, 2827, 5654

Step-4: Factors of 11320

List of positive integer factors of 11320 that divides 11308 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 283, 566, 1132, 1415, 2264, 2830, 5660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11308 and 11320. The biggest common factor number is the GCF number.
So the greatest common factor 11308 and 11320 is 4.

Also check out the Least Common Multiple of 11308 and 11320