What is the Greatest Common Factor of 267 and 280?

Greatest common factor (GCF) of 267 and 280 is 1.

GCF(267,280) = 1

We will now calculate the prime factors of 267 and 280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 267 and 280.

How to find the GCF of 267 and 280?

We will first find the prime factorization of 267 and 280. After we will calculate the factors of 267 and 280 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 280

Prime factors of 280 are 2, 5, 7. Prime factorization of 280 in exponential form is:

280 = 2³ × 5¹ × 7¹

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 280

List of positive integer factors of 280 that divides 267 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 267 and 280. The biggest common factor number is the GCF number.
So the greatest common factor 267 and 280 is 1.

Also check out the Least Common Multiple of 267 and 280