What is the Greatest Common Factor of 11172 and 11186?

Greatest common factor (GCF) of 11172 and 11186 is 14.

GCF(11172,11186) = 14

We will now calculate the prime factors of 11172 and 11186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11172 and 11186.

How to find the GCF of 11172 and 11186?

We will first find the prime factorization of 11172 and 11186. After we will calculate the factors of 11172 and 11186 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 11186

Prime factors of 11186 are 2, 7, 17, 47. Prime factorization of 11186 in exponential form is:

11186 = 2¹ × 7¹ × 17¹ × 47¹

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 11186

List of positive integer factors of 11186 that divides 11172 without a remainder.

1, 2, 7, 14, 17, 34, 47, 94, 119, 238, 329, 658, 799, 1598, 5593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11172 and 11186. The biggest common factor number is the GCF number.
So the greatest common factor 11172 and 11186 is 14.

Also check out the Least Common Multiple of 11172 and 11186