What is the Greatest Common Factor of 11154 and 11171?

Greatest common factor (GCF) of 11154 and 11171 is 1.

GCF(11154,11171) = 1

We will now calculate the prime factors of 11154 and 11171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11154 and 11171.

How to find the GCF of 11154 and 11171?

We will first find the prime factorization of 11154 and 11171. After we will calculate the factors of 11154 and 11171 and find the biggest common factor number .

Step-1: Prime Factorization of 11154

Prime factors of 11154 are 2, 3, 11, 13. Prime factorization of 11154 in exponential form is:

11154 = 2¹ × 3¹ × 11¹ × 13²

Step-2: Prime Factorization of 11171

Prime factors of 11171 are 11171. Prime factorization of 11171 in exponential form is:

11171 = 11171¹

Step-3: Factors of 11154

List of positive integer factors of 11154 that divides 11154 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 169, 286, 338, 429, 507, 858, 1014, 1859, 3718, 5577

Step-4: Factors of 11171

List of positive integer factors of 11171 that divides 11154 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11154 and 11171. The biggest common factor number is the GCF number.
So the greatest common factor 11154 and 11171 is 1.

Also check out the Least Common Multiple of 11154 and 11171