What is the Greatest Common Factor of 11120 and 11130?

Greatest common factor (GCF) of 11120 and 11130 is 10.

GCF(11120,11130) = 10

We will now calculate the prime factors of 11120 and 11130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11120 and 11130.

How to find the GCF of 11120 and 11130?

We will first find the prime factorization of 11120 and 11130. After we will calculate the factors of 11120 and 11130 and find the biggest common factor number .

Step-1: Prime Factorization of 11120

Prime factors of 11120 are 2, 5, 139. Prime factorization of 11120 in exponential form is:

11120 = 2⁴ × 5¹ × 139¹

Step-2: 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-3: Factors of 11120

List of positive integer factors of 11120 that divides 11120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 139, 278, 556, 695, 1112, 1390, 2224, 2780, 5560

Step-4: Factors of 11130

List of positive integer factors of 11130 that divides 11120 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11120 and 11130. The biggest common factor number is the GCF number.
So the greatest common factor 11120 and 11130 is 10.

Also check out the Least Common Multiple of 11120 and 11130