What is the Greatest Common Factor of 11037 and 11055?

Greatest common factor (GCF) of 11037 and 11055 is 3.

GCF(11037,11055) = 3

We will now calculate the prime factors of 11037 and 11055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11037 and 11055.

How to find the GCF of 11037 and 11055?

We will first find the prime factorization of 11037 and 11055. After we will calculate the factors of 11037 and 11055 and find the biggest common factor number .

Step-1: Prime Factorization of 11037

Prime factors of 11037 are 3, 13, 283. Prime factorization of 11037 in exponential form is:

11037 = 3¹ × 13¹ × 283¹

Step-2: 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-3: Factors of 11037

List of positive integer factors of 11037 that divides 11037 without a remainder.

1, 3, 13, 39, 283, 849, 3679

Step-4: Factors of 11055

List of positive integer factors of 11055 that divides 11037 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11037 and 11055. The biggest common factor number is the GCF number.
So the greatest common factor 11037 and 11055 is 3.

Also check out the Least Common Multiple of 11037 and 11055