What is the Greatest Common Factor of 11401 and 11414?

Greatest common factor (GCF) of 11401 and 11414 is 13.

GCF(11401,11414) = 13

We will now calculate the prime factors of 11401 and 11414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11401 and 11414.

How to find the GCF of 11401 and 11414?

We will first find the prime factorization of 11401 and 11414. After we will calculate the factors of 11401 and 11414 and find the biggest common factor number .

Step-1: Prime Factorization of 11401

Prime factors of 11401 are 13, 877. Prime factorization of 11401 in exponential form is:

11401 = 13¹ × 877¹

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 11401

List of positive integer factors of 11401 that divides 11401 without a remainder.

1, 13, 877

Step-4: Factors of 11414

List of positive integer factors of 11414 that divides 11401 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11401 and 11414. The biggest common factor number is the GCF number.
So the greatest common factor 11401 and 11414 is 13.

Also check out the Least Common Multiple of 11401 and 11414