What is the Greatest Common Factor of 11073 and 11085?

Greatest common factor (GCF) of 11073 and 11085 is 3.

GCF(11073,11085) = 3

We will now calculate the prime factors of 11073 and 11085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11073 and 11085.

How to find the GCF of 11073 and 11085?

We will first find the prime factorization of 11073 and 11085. After we will calculate the factors of 11073 and 11085 and find the biggest common factor number .

Step-1: Prime Factorization of 11073

Prime factors of 11073 are 3, 3691. Prime factorization of 11073 in exponential form is:

11073 = 3¹ × 3691¹

Step-2: Prime Factorization of 11085

Prime factors of 11085 are 3, 5, 739. Prime factorization of 11085 in exponential form is:

11085 = 3¹ × 5¹ × 739¹

Step-3: Factors of 11073

List of positive integer factors of 11073 that divides 11073 without a remainder.

1, 3, 3691

Step-4: Factors of 11085

List of positive integer factors of 11085 that divides 11073 without a remainder.

1, 3, 5, 15, 739, 2217, 3695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11073 and 11085. The biggest common factor number is the GCF number.
So the greatest common factor 11073 and 11085 is 3.

Also check out the Least Common Multiple of 11073 and 11085