What is the Greatest Common Factor of 11136 and 11142?

Greatest common factor (GCF) of 11136 and 11142 is 6.

GCF(11136,11142) = 6

We will now calculate the prime factors of 11136 and 11142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11136 and 11142.

How to find the GCF of 11136 and 11142?

We will first find the prime factorization of 11136 and 11142. After we will calculate the factors of 11136 and 11142 and find the biggest common factor number .

Step-1: Prime Factorization of 11136

Prime factors of 11136 are 2, 3, 29. Prime factorization of 11136 in exponential form is:

11136 = 2⁷ × 3¹ × 29¹

Step-2: Prime Factorization of 11142

Prime factors of 11142 are 2, 3, 619. Prime factorization of 11142 in exponential form is:

11142 = 2¹ × 3² × 619¹

Step-3: Factors of 11136

List of positive integer factors of 11136 that divides 11136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 128, 174, 192, 232, 348, 384, 464, 696, 928, 1392, 1856, 2784, 3712, 5568

Step-4: Factors of 11142

List of positive integer factors of 11142 that divides 11136 without a remainder.

1, 2, 3, 6, 9, 18, 619, 1238, 1857, 3714, 5571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11136 and 11142. The biggest common factor number is the GCF number.
So the greatest common factor 11136 and 11142 is 6.

Also check out the Least Common Multiple of 11136 and 11142