What is the Greatest Common Factor of 275 and 286?

Greatest common factor (GCF) of 275 and 286 is 11.

GCF(275,286) = 11

We will now calculate the prime factors of 275 and 286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 275 and 286.

How to find the GCF of 275 and 286?

We will first find the prime factorization of 275 and 286. After we will calculate the factors of 275 and 286 and find the biggest common factor number .

Step-1: Prime Factorization of 275

Prime factors of 275 are 5, 11. Prime factorization of 275 in exponential form is:

275 = 5² × 11¹

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 275

List of positive integer factors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55

Step-4: Factors of 286

List of positive integer factors of 286 that divides 275 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 275 and 286. The biggest common factor number is the GCF number.
So the greatest common factor 275 and 286 is 11.

Also check out the Least Common Multiple of 275 and 286