What is the Greatest Common Factor of 286 and 297?

Greatest common factor (GCF) of 286 and 297 is 11.

GCF(286,297) = 11

We will now calculate the prime factors of 286 and 297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 286 and 297.

How to find the GCF of 286 and 297?

We will first find the prime factorization of 286 and 297. After we will calculate the factors of 286 and 297 and find the biggest common factor number .

Step-1: Prime Factorization of 286

Prime factors of 286 are 2, 11, 13. Prime factorization of 286 in exponential form is:

286 = 2¹ × 11¹ × 13¹

Step-2: Prime Factorization of 297

Prime factors of 297 are 3, 11. Prime factorization of 297 in exponential form is:

297 = 3³ × 11¹

Step-3: Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143

Step-4: Factors of 297

List of positive integer factors of 297 that divides 286 without a remainder.

1, 3, 9, 11, 27, 33, 99

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 286 and 297. The biggest common factor number is the GCF number.
So the greatest common factor 286 and 297 is 11.

Also check out the Least Common Multiple of 286 and 297