What is the Greatest Common Factor of 18266 and 18272?

Greatest common factor (GCF) of 18266 and 18272 is 2.

GCF(18266,18272) = 2

We will now calculate the prime factors of 18266 and 18272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18266 and 18272.

How to find the GCF of 18266 and 18272?

We will first find the prime factorization of 18266 and 18272. After we will calculate the factors of 18266 and 18272 and find the biggest common factor number .

Step-1: Prime Factorization of 18266

Prime factors of 18266 are 2, 9133. Prime factorization of 18266 in exponential form is:

18266 = 2¹ × 9133¹

Step-2: Prime Factorization of 18272

Prime factors of 18272 are 2, 571. Prime factorization of 18272 in exponential form is:

18272 = 2⁵ × 571¹

Step-3: Factors of 18266

List of positive integer factors of 18266 that divides 18266 without a remainder.

1, 2, 9133

Step-4: Factors of 18272

List of positive integer factors of 18272 that divides 18266 without a remainder.

1, 2, 4, 8, 16, 32, 571, 1142, 2284, 4568, 9136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18266 and 18272. The biggest common factor number is the GCF number.
So the greatest common factor 18266 and 18272 is 2.

Also check out the Least Common Multiple of 18266 and 18272