What is the Greatest Common Factor of 11191 and 11210?

Greatest common factor (GCF) of 11191 and 11210 is 19.

GCF(11191,11210) = 19

We will now calculate the prime factors of 11191 and 11210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11191 and 11210.

How to find the GCF of 11191 and 11210?

We will first find the prime factorization of 11191 and 11210. After we will calculate the factors of 11191 and 11210 and find the biggest common factor number .

Step-1: Prime Factorization of 11191

Prime factors of 11191 are 19, 31. Prime factorization of 11191 in exponential form is:

11191 = 19² × 31¹

Step-2: Prime Factorization of 11210

Prime factors of 11210 are 2, 5, 19, 59. Prime factorization of 11210 in exponential form is:

11210 = 2¹ × 5¹ × 19¹ × 59¹

Step-3: Factors of 11191

List of positive integer factors of 11191 that divides 11191 without a remainder.

1, 19, 31, 361, 589

Step-4: Factors of 11210

List of positive integer factors of 11210 that divides 11191 without a remainder.

1, 2, 5, 10, 19, 38, 59, 95, 118, 190, 295, 590, 1121, 2242, 5605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11191 and 11210. The biggest common factor number is the GCF number.
So the greatest common factor 11191 and 11210 is 19.

Also check out the Least Common Multiple of 11191 and 11210