What is the Greatest Common Factor of 11052 and 11066?

Greatest common factor (GCF) of 11052 and 11066 is 2.

GCF(11052,11066) = 2

We will now calculate the prime factors of 11052 and 11066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11052 and 11066.

How to find the GCF of 11052 and 11066?

We will first find the prime factorization of 11052 and 11066. After we will calculate the factors of 11052 and 11066 and find the biggest common factor number .

Step-1: Prime Factorization of 11052

Prime factors of 11052 are 2, 3, 307. Prime factorization of 11052 in exponential form is:

11052 = 2² × 3² × 307¹

Step-2: 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-3: Factors of 11052

List of positive integer factors of 11052 that divides 11052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 307, 614, 921, 1228, 1842, 2763, 3684, 5526

Step-4: Factors of 11066

List of positive integer factors of 11066 that divides 11052 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11052 and 11066. The biggest common factor number is the GCF number.
So the greatest common factor 11052 and 11066 is 2.

Also check out the Least Common Multiple of 11052 and 11066