What is the Greatest Common Factor of 11172 and 11191?

Greatest common factor (GCF) of 11172 and 11191 is 19.

GCF(11172,11191) = 19

We will now calculate the prime factors of 11172 and 11191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11172 and 11191.

How to find the GCF of 11172 and 11191?

We will first find the prime factorization of 11172 and 11191. After we will calculate the factors of 11172 and 11191 and find the biggest common factor number .

Step-1: Prime Factorization of 11172

Prime factors of 11172 are 2, 3, 7, 19. Prime factorization of 11172 in exponential form is:

11172 = 2² × 3¹ × 7² × 19¹

Step-2: Prime Factorization of 11191

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

11191 = 19² × 31¹

Step-3: Factors of 11172

List of positive integer factors of 11172 that divides 11172 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 49, 57, 76, 84, 98, 114, 133, 147, 196, 228, 266, 294, 399, 532, 588, 798, 931, 1596, 1862, 2793, 3724, 5586

Step-4: Factors of 11191

List of positive integer factors of 11191 that divides 11172 without a remainder.

1, 19, 31, 361, 589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11172 and 11191. The biggest common factor number is the GCF number.
So the greatest common factor 11172 and 11191 is 19.

Also check out the Least Common Multiple of 11172 and 11191