What is the Greatest Common Factor of 11394 and 11414?

Greatest common factor (GCF) of 11394 and 11414 is 2.

GCF(11394,11414) = 2

We will now calculate the prime factors of 11394 and 11414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11394 and 11414.

How to find the GCF of 11394 and 11414?

We will first find the prime factorization of 11394 and 11414. After we will calculate the factors of 11394 and 11414 and find the biggest common factor number .

Step-1: Prime Factorization of 11394

Prime factors of 11394 are 2, 3, 211. Prime factorization of 11394 in exponential form is:

11394 = 2¹ × 3³ × 211¹

Step-2: Prime Factorization of 11414

Prime factors of 11414 are 2, 13, 439. Prime factorization of 11414 in exponential form is:

11414 = 2¹ × 13¹ × 439¹

Step-3: Factors of 11394

List of positive integer factors of 11394 that divides 11394 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 211, 422, 633, 1266, 1899, 3798, 5697

Step-4: Factors of 11414

List of positive integer factors of 11414 that divides 11394 without a remainder.

1, 2, 13, 26, 439, 878, 5707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11394 and 11414. The biggest common factor number is the GCF number.
So the greatest common factor 11394 and 11414 is 2.

Also check out the Least Common Multiple of 11394 and 11414