What is the Greatest Common Factor of 258 and 267?

Greatest common factor (GCF) of 258 and 267 is 3.

GCF(258,267) = 3

We will now calculate the prime factors of 258 and 267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 258 and 267.

How to find the GCF of 258 and 267?

We will first find the prime factorization of 258 and 267. After we will calculate the factors of 258 and 267 and find the biggest common factor number .

Step-1: Prime Factorization of 258

Prime factors of 258 are 2, 3, 43. Prime factorization of 258 in exponential form is:

258 = 2¹ × 3¹ × 43¹

Step-2: Prime Factorization of 267

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

267 = 3¹ × 89¹

Step-3: Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129

Step-4: Factors of 267

List of positive integer factors of 267 that divides 258 without a remainder.

1, 3, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 258 and 267. The biggest common factor number is the GCF number.
So the greatest common factor 258 and 267 is 3.

Also check out the Least Common Multiple of 258 and 267