What is the Greatest Common Factor of 11130 and 11144?

Greatest common factor (GCF) of 11130 and 11144 is 14.

GCF(11130,11144) = 14

We will now calculate the prime factors of 11130 and 11144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11130 and 11144.

How to find the GCF of 11130 and 11144?

We will first find the prime factorization of 11130 and 11144. After we will calculate the factors of 11130 and 11144 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 11144

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

11144 = 2³ × 7¹ × 199¹

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 11144

List of positive integer factors of 11144 that divides 11130 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11130 and 11144. The biggest common factor number is the GCF number.
So the greatest common factor 11130 and 11144 is 14.

Also check out the Least Common Multiple of 11130 and 11144