What is the Greatest Common Factor of 11144 and 11162?

Greatest common factor (GCF) of 11144 and 11162 is 2.

GCF(11144,11162) = 2

We will now calculate the prime factors of 11144 and 11162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11144 and 11162.

How to find the GCF of 11144 and 11162?

We will first find the prime factorization of 11144 and 11162. After we will calculate the factors of 11144 and 11162 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 11162

Prime factors of 11162 are 2, 5581. Prime factorization of 11162 in exponential form is:

11162 = 2¹ × 5581¹

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 11162

List of positive integer factors of 11162 that divides 11144 without a remainder.

1, 2, 5581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11144 and 11162. The biggest common factor number is the GCF number.
So the greatest common factor 11144 and 11162 is 2.

Also check out the Least Common Multiple of 11144 and 11162