What is the Greatest Common Factor of 11140 and 11150?

Greatest common factor (GCF) of 11140 and 11150 is 10.

GCF(11140,11150) = 10

We will now calculate the prime factors of 11140 and 11150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11140 and 11150.

How to find the GCF of 11140 and 11150?

We will first find the prime factorization of 11140 and 11150. After we will calculate the factors of 11140 and 11150 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 11150

Prime factors of 11150 are 2, 5, 223. Prime factorization of 11150 in exponential form is:

11150 = 2¹ × 5² × 223¹

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 11150

List of positive integer factors of 11150 that divides 11140 without a remainder.

1, 2, 5, 10, 25, 50, 223, 446, 1115, 2230, 5575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11140 and 11150. The biggest common factor number is the GCF number.
So the greatest common factor 11140 and 11150 is 10.

Also check out the Least Common Multiple of 11140 and 11150