What is the Greatest Common Factor of 11055 and 11070?

Greatest common factor (GCF) of 11055 and 11070 is 15.

GCF(11055,11070) = 15

We will now calculate the prime factors of 11055 and 11070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11055 and 11070.

How to find the GCF of 11055 and 11070?

We will first find the prime factorization of 11055 and 11070. After we will calculate the factors of 11055 and 11070 and find the biggest common factor number .

Step-1: Prime Factorization of 11055

Prime factors of 11055 are 3, 5, 11, 67. Prime factorization of 11055 in exponential form is:

11055 = 3¹ × 5¹ × 11¹ × 67¹

Step-2: Prime Factorization of 11070

Prime factors of 11070 are 2, 3, 5, 41. Prime factorization of 11070 in exponential form is:

11070 = 2¹ × 3³ × 5¹ × 41¹

Step-3: Factors of 11055

List of positive integer factors of 11055 that divides 11055 without a remainder.

1, 3, 5, 11, 15, 33, 55, 67, 165, 201, 335, 737, 1005, 2211, 3685

Step-4: Factors of 11070

List of positive integer factors of 11070 that divides 11055 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11055 and 11070. The biggest common factor number is the GCF number.
So the greatest common factor 11055 and 11070 is 15.

Also check out the Least Common Multiple of 11055 and 11070