What is the Greatest Common Factor of 286 and 294?

Greatest common factor (GCF) of 286 and 294 is 2.

GCF(286,294) = 2

We will now calculate the prime factors of 286 and 294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 286 and 294.

How to find the GCF of 286 and 294?

We will first find the prime factorization of 286 and 294. After we will calculate the factors of 286 and 294 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 294

Prime factors of 294 are 2, 3, 7. Prime factorization of 294 in exponential form is:

294 = 2¹ × 3¹ × 7²

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 294

List of positive integer factors of 294 that divides 286 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 286 and 294. The biggest common factor number is the GCF number.
So the greatest common factor 286 and 294 is 2.

Also check out the Least Common Multiple of 286 and 294