What is the Greatest Common Factor of 267 and 285?

Greatest common factor (GCF) of 267 and 285 is 3.

GCF(267,285) = 3

We will now calculate the prime factors of 267 and 285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 267 and 285.

How to find the GCF of 267 and 285?

We will first find the prime factorization of 267 and 285. After we will calculate the factors of 267 and 285 and find the biggest common factor number .

Step-1: Prime Factorization of 267

Prime factors of 267 are 3, 89. Prime factorization of 267 in exponential form is:

267 = 3¹ × 89¹

Step-2: Prime Factorization of 285

Prime factors of 285 are 3, 5, 19. Prime factorization of 285 in exponential form is:

285 = 3¹ × 5¹ × 19¹

Step-3: Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1, 3, 89

Step-4: Factors of 285

List of positive integer factors of 285 that divides 267 without a remainder.

1, 3, 5, 15, 19, 57, 95

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 267 and 285. The biggest common factor number is the GCF number.
So the greatest common factor 267 and 285 is 3.

Also check out the Least Common Multiple of 267 and 285