What is the Greatest Common Factor of 11140 and 11152?

Greatest common factor (GCF) of 11140 and 11152 is 4.

GCF(11140,11152) = 4

We will now calculate the prime factors of 11140 and 11152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11140 and 11152.

How to find the GCF of 11140 and 11152?

We will first find the prime factorization of 11140 and 11152. After we will calculate the factors of 11140 and 11152 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11152

Prime factors of 11152 are 2, 17, 41. Prime factorization of 11152 in exponential form is:

11152 = 2⁴ × 17¹ × 41¹

Step-3: Factors of 11140

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

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

Step-4: Factors of 11152

List of positive integer factors of 11152 that divides 11140 without a remainder.

1, 2, 4, 8, 16, 17, 34, 41, 68, 82, 136, 164, 272, 328, 656, 697, 1394, 2788, 5576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11140 and 11152. The biggest common factor number is the GCF number.
So the greatest common factor 11140 and 11152 is 4.

Also check out the Least Common Multiple of 11140 and 11152