What is the Greatest Common Factor of 11144 and 11154?

Greatest common factor (GCF) of 11144 and 11154 is 2.

GCF(11144,11154) = 2

We will now calculate the prime factors of 11144 and 11154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11144 and 11154.

How to find the GCF of 11144 and 11154?

We will first find the prime factorization of 11144 and 11154. After we will calculate the factors of 11144 and 11154 and find the biggest common factor number .

Step-1: Prime Factorization of 11144

Prime factors of 11144 are 2, 7, 199. Prime factorization of 11144 in exponential form is:

11144 = 2³ × 7¹ × 199¹

Step-2: 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-3: Factors of 11144

List of positive integer factors of 11144 that divides 11144 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 199, 398, 796, 1393, 1592, 2786, 5572

Step-4: Factors of 11154

List of positive integer factors of 11154 that divides 11144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11144 and 11154. The biggest common factor number is the GCF number.
So the greatest common factor 11144 and 11154 is 2.

Also check out the Least Common Multiple of 11144 and 11154