What is the Greatest Common Factor of 266 and 286?

Greatest common factor (GCF) of 266 and 286 is 2.

GCF(266,286) = 2

We will now calculate the prime factors of 266 and 286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 266 and 286.

How to find the GCF of 266 and 286?

We will first find the prime factorization of 266 and 286. After we will calculate the factors of 266 and 286 and find the biggest common factor number .

Step-1: Prime Factorization of 266

Prime factors of 266 are 2, 7, 19. Prime factorization of 266 in exponential form is:

266 = 2¹ × 7¹ × 19¹

Step-2: 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-3: Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133

Step-4: Factors of 286

List of positive integer factors of 286 that divides 266 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 266 and 286. The biggest common factor number is the GCF number.
So the greatest common factor 266 and 286 is 2.

Also check out the Least Common Multiple of 266 and 286