What is the Greatest Common Factor of 276 and 286?

Greatest common factor (GCF) of 276 and 286 is 2.

GCF(276,286) = 2

We will now calculate the prime factors of 276 and 286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 276 and 286.

How to find the GCF of 276 and 286?

We will first find the prime factorization of 276 and 286. After we will calculate the factors of 276 and 286 and find the biggest common factor number .

Step-1: Prime Factorization of 276

Prime factors of 276 are 2, 3, 23. Prime factorization of 276 in exponential form is:

276 = 2² × 3¹ × 23¹

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 276

List of positive integer factors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138

Step-4: Factors of 286

List of positive integer factors of 286 that divides 276 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 276 and 286. The biggest common factor number is the GCF number.
So the greatest common factor 276 and 286 is 2.

Also check out the Least Common Multiple of 276 and 286