What is the Greatest Common Factor of 286 and 299?

Greatest common factor (GCF) of 286 and 299 is 13.

GCF(286,299) = 13

We will now calculate the prime factors of 286 and 299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 286 and 299.

How to find the GCF of 286 and 299?

We will first find the prime factorization of 286 and 299. After we will calculate the factors of 286 and 299 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 299

Prime factors of 299 are 13, 23. Prime factorization of 299 in exponential form is:

299 = 13¹ × 23¹

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 299

List of positive integer factors of 299 that divides 286 without a remainder.

1, 13, 23

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 286 and 299. The biggest common factor number is the GCF number.
So the greatest common factor 286 and 299 is 13.

Also check out the Least Common Multiple of 286 and 299