What is the Greatest Common Factor of 11132 and 11140?

Greatest common factor (GCF) of 11132 and 11140 is 4.

GCF(11132,11140) = 4

We will now calculate the prime factors of 11132 and 11140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11132 and 11140.

How to find the GCF of 11132 and 11140?

We will first find the prime factorization of 11132 and 11140. After we will calculate the factors of 11132 and 11140 and find the biggest common factor number .

Step-1: Prime Factorization of 11132

Prime factors of 11132 are 2, 11, 23. Prime factorization of 11132 in exponential form is:

11132 = 2² × 11² × 23¹

Step-2: Prime Factorization of 11140

Prime factors of 11140 are 2, 5, 557. Prime factorization of 11140 in exponential form is:

11140 = 2² × 5¹ × 557¹

Step-3: Factors of 11132

List of positive integer factors of 11132 that divides 11132 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 92, 121, 242, 253, 484, 506, 1012, 2783, 5566

Step-4: Factors of 11140

List of positive integer factors of 11140 that divides 11132 without a remainder.

1, 2, 4, 5, 10, 20, 557, 1114, 2228, 2785, 5570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11132 and 11140. The biggest common factor number is the GCF number.
So the greatest common factor 11132 and 11140 is 4.

Also check out the Least Common Multiple of 11132 and 11140