What is the Greatest Common Factor of 11014 and 11026?

Greatest common factor (GCF) of 11014 and 11026 is 2.

GCF(11014,11026) = 2

We will now calculate the prime factors of 11014 and 11026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11014 and 11026.

How to find the GCF of 11014 and 11026?

We will first find the prime factorization of 11014 and 11026. After we will calculate the factors of 11014 and 11026 and find the biggest common factor number .

Step-1: Prime Factorization of 11014

Prime factors of 11014 are 2, 5507. Prime factorization of 11014 in exponential form is:

11014 = 2¹ × 5507¹

Step-2: Prime Factorization of 11026

Prime factors of 11026 are 2, 37, 149. Prime factorization of 11026 in exponential form is:

11026 = 2¹ × 37¹ × 149¹

Step-3: Factors of 11014

List of positive integer factors of 11014 that divides 11014 without a remainder.

1, 2, 5507

Step-4: Factors of 11026

List of positive integer factors of 11026 that divides 11014 without a remainder.

1, 2, 37, 74, 149, 298, 5513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11014 and 11026. The biggest common factor number is the GCF number.
So the greatest common factor 11014 and 11026 is 2.

Also check out the Least Common Multiple of 11014 and 11026