What is the Greatest Common Factor of 11000 and 11015?

Greatest common factor (GCF) of 11000 and 11015 is 5.

GCF(11000,11015) = 5

We will now calculate the prime factors of 11000 and 11015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11000 and 11015.

How to find the GCF of 11000 and 11015?

We will first find the prime factorization of 11000 and 11015. After we will calculate the factors of 11000 and 11015 and find the biggest common factor number .

Step-1: Prime Factorization of 11000

Prime factors of 11000 are 2, 5, 11. Prime factorization of 11000 in exponential form is:

11000 = 2³ × 5³ × 11¹

Step-2: Prime Factorization of 11015

Prime factors of 11015 are 5, 2203. Prime factorization of 11015 in exponential form is:

11015 = 5¹ × 2203¹

Step-3: Factors of 11000

List of positive integer factors of 11000 that divides 11000 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 200, 220, 250, 275, 440, 500, 550, 1000, 1100, 1375, 2200, 2750, 5500

Step-4: Factors of 11015

List of positive integer factors of 11015 that divides 11000 without a remainder.

1, 5, 2203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11000 and 11015. The biggest common factor number is the GCF number.
So the greatest common factor 11000 and 11015 is 5.

Also check out the Least Common Multiple of 11000 and 11015