What is the Greatest Common Factor of 11116 and 11130?

Greatest common factor (GCF) of 11116 and 11130 is 14.

GCF(11116,11130) = 14

We will now calculate the prime factors of 11116 and 11130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11116 and 11130.

How to find the GCF of 11116 and 11130?

We will first find the prime factorization of 11116 and 11130. After we will calculate the factors of 11116 and 11130 and find the biggest common factor number .

Step-1: Prime Factorization of 11116

Prime factors of 11116 are 2, 7, 397. Prime factorization of 11116 in exponential form is:

11116 = 2² × 7¹ × 397¹

Step-2: Prime Factorization of 11130

Prime factors of 11130 are 2, 3, 5, 7, 53. Prime factorization of 11130 in exponential form is:

11130 = 2¹ × 3¹ × 5¹ × 7¹ × 53¹

Step-3: Factors of 11116

List of positive integer factors of 11116 that divides 11116 without a remainder.

1, 2, 4, 7, 14, 28, 397, 794, 1588, 2779, 5558

Step-4: Factors of 11130

List of positive integer factors of 11130 that divides 11116 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 53, 70, 105, 106, 159, 210, 265, 318, 371, 530, 742, 795, 1113, 1590, 1855, 2226, 3710, 5565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11116 and 11130. The biggest common factor number is the GCF number.
So the greatest common factor 11116 and 11130 is 14.

Also check out the Least Common Multiple of 11116 and 11130