What is the Greatest Common Factor of 11414 and 11428?

Greatest common factor (GCF) of 11414 and 11428 is 2.

GCF(11414,11428) = 2

We will now calculate the prime factors of 11414 and 11428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11414 and 11428.

How to find the GCF of 11414 and 11428?

We will first find the prime factorization of 11414 and 11428. After we will calculate the factors of 11414 and 11428 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11428

Prime factors of 11428 are 2, 2857. Prime factorization of 11428 in exponential form is:

11428 = 2² × 2857¹

Step-3: Factors of 11414

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

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

Step-4: Factors of 11428

List of positive integer factors of 11428 that divides 11414 without a remainder.

1, 2, 4, 2857, 5714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11414 and 11428. The biggest common factor number is the GCF number.
So the greatest common factor 11414 and 11428 is 2.

Also check out the Least Common Multiple of 11414 and 11428