What is the Greatest Common Factor of 11158 and 11172?

Greatest common factor (GCF) of 11158 and 11172 is 14.

GCF(11158,11172) = 14

We will now calculate the prime factors of 11158 and 11172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11158 and 11172.

How to find the GCF of 11158 and 11172?

We will first find the prime factorization of 11158 and 11172. After we will calculate the factors of 11158 and 11172 and find the biggest common factor number .

Step-1: Prime Factorization of 11158

Prime factors of 11158 are 2, 7, 797. Prime factorization of 11158 in exponential form is:

11158 = 2¹ × 7¹ × 797¹

Step-2: 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-3: Factors of 11158

List of positive integer factors of 11158 that divides 11158 without a remainder.

1, 2, 7, 14, 797, 1594, 5579

Step-4: Factors of 11172

List of positive integer factors of 11172 that divides 11158 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11158 and 11172. The biggest common factor number is the GCF number.
So the greatest common factor 11158 and 11172 is 14.

Also check out the Least Common Multiple of 11158 and 11172