What is the Greatest Common Factor of 11308 and 11314?

Greatest common factor (GCF) of 11308 and 11314 is 2.

GCF(11308,11314) = 2

We will now calculate the prime factors of 11308 and 11314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11308 and 11314.

How to find the GCF of 11308 and 11314?

We will first find the prime factorization of 11308 and 11314. After we will calculate the factors of 11308 and 11314 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 11314

Prime factors of 11314 are 2, 5657. Prime factorization of 11314 in exponential form is:

11314 = 2¹ × 5657¹

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 11314

List of positive integer factors of 11314 that divides 11308 without a remainder.

1, 2, 5657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11308 and 11314. The biggest common factor number is the GCF number.
So the greatest common factor 11308 and 11314 is 2.

Also check out the Least Common Multiple of 11308 and 11314