What is the Greatest Common Factor of 11130 and 11136?

Greatest common factor (GCF) of 11130 and 11136 is 6.

GCF(11130,11136) = 6

We will now calculate the prime factors of 11130 and 11136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11130 and 11136.

How to find the GCF of 11130 and 11136?

We will first find the prime factorization of 11130 and 11136. After we will calculate the factors of 11130 and 11136 and find the biggest common factor number .

Step-1: Prime Factorization of 11130

Prime factors of 11130 are 2, 3, 5, 7, 53. Prime factorization of 11130 in exponential form is:

11130 = 2¹ × 3¹ × 5¹ × 7¹ × 53¹

Step-2: 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-3: Factors of 11130

List of positive integer factors of 11130 that divides 11130 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 53, 70, 105, 106, 159, 210, 265, 318, 371, 530, 742, 795, 1113, 1590, 1855, 2226, 3710, 5565

Step-4: Factors of 11136

List of positive integer factors of 11136 that divides 11130 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11130 and 11136. The biggest common factor number is the GCF number.
So the greatest common factor 11130 and 11136 is 6.

Also check out the Least Common Multiple of 11130 and 11136