Greatest Common Factor of 264 and 267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 264, 267 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 264 and 267 is 3.

GCF(264,267) = 3

GCF of 264 and 267

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 264 and 267

GCF of 264 and 267 is 3

Prime Factorization of 264


2 264
2 132
2 66
3 33
11 11
1

Prime factors of 264 are 2,3,11. Prime factorization of 264 in exponential form is:

264 = 23×31×111

Prime Factorization of 267


3 267
89 89
1

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

267 = 31×891

∴ So by taking common prime factors GCF of 264 and 267 is 3

Greatest Common Factor of 264 and 267 by matching factors method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 267

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

1,3,89,267

Greatest Common Factor

We found the factors and prime factorization of 264 and 267. The biggest common factor number is the GCF number.
So the greatest common factor 264 and 267 is 3.

Also check out the Least Common Multiple of 264 and 267

Properties of GCF 264 and 267

(i) The GCF of 264 and 267 is associative

GCF of 264 and 267 = GCF of 267 and 264

Related Greatest Common Factor of 264

Related Greatest Common Factor of 267

Frequently Asked Questions on GCF of 264 and 267

1. What is the GCF of 264 and 267?

Answer: GCF of 264 and 267 is 3.

2. What are the Factors of 264?

Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.

3. What are the Factors of 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

4. How to Find the GCF of 264 and 267?

Answer:

Greatest Common Factor of 264 and 267 = 3

Step 1: Find the prime factorization of 264

264 = 2 x 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 267

267 = 3 x 89

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 264 and 267 is 3