What is the Greatest Common Factor of 11066 and 11072?

Greatest common factor (GCF) of 11066 and 11072 is 2.

GCF(11066,11072) = 2

We will now calculate the prime factors of 11066 and 11072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11066 and 11072.

How to find the GCF of 11066 and 11072?

We will first find the prime factorization of 11066 and 11072. After we will calculate the factors of 11066 and 11072 and find the biggest common factor number .

Step-1: Prime Factorization of 11066

Prime factors of 11066 are 2, 11, 503. Prime factorization of 11066 in exponential form is:

11066 = 2¹ × 11¹ × 503¹

Step-2: Prime Factorization of 11072

Prime factors of 11072 are 2, 173. Prime factorization of 11072 in exponential form is:

11072 = 2⁶ × 173¹

Step-3: Factors of 11066

List of positive integer factors of 11066 that divides 11066 without a remainder.

1, 2, 11, 22, 503, 1006, 5533

Step-4: Factors of 11072

List of positive integer factors of 11072 that divides 11066 without a remainder.

1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11066 and 11072. The biggest common factor number is the GCF number.
So the greatest common factor 11066 and 11072 is 2.

Also check out the Least Common Multiple of 11066 and 11072