Greatest Common Factor of 3261 and 3267

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 3261, 3267 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3261 and 3267 is 3.

GCF(3261,3267) = 3

GCF of 3261 and 3267

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

GCF of:
and

Greatest Common Factor of 3261 and 3267

GCF of 3261 and 3267 is 3

Prime Factorization of 3261


3 3261
1087 1087
1

Prime factors of 3261 are 3,1087. Prime factorization of 3261 in exponential form is:

3261 = 31×10871

Prime Factorization of 3267


3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 3267 are 3,11. Prime factorization of 3267 in exponential form is:

3267 = 33×112

∴ So by taking common prime factors GCF of 3261 and 3267 is 3

Greatest Common Factor of 3261 and 3267 by matching factors method

Factors of 3261

List of positive integer factors of 3261 that divides 3261 without a remainder.

1,3,1087,3261

Factors of 3267

List of positive integer factors of 3267 that divides 3267 without a remainder.

1,3,9,11,27,33,99,121,297,363,1089,3267

Greatest Common Factor

We found the factors and prime factorization of 3261 and 3267. The biggest common factor number is the GCF number.
So the greatest common factor 3261 and 3267 is 3.

Also check out the Least Common Multiple of 3261 and 3267

Properties of GCF 3261 and 3267

(i) The GCF of 3261 and 3267 is associative

GCF of 3261 and 3267 = GCF of 3267 and 3261

Related Greatest Common Factor of 3261

Related Greatest Common Factor of 3267

Frequently Asked Questions on GCF of 3261 and 3267

1. What is the GCF of 3261 and 3267?

Answer: GCF of 3261 and 3267 is 3.

2. What are the Factors of 3261?

Answer: Factors of 3261 are 1, 3, 1087, 3261. There are 4 integers that are factors of 3261. The greatest factor of 3261 is 3261.

3. What are the Factors of 3267?

Answer: Factors of 3267 are 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267. There are 12 integers that are factors of 3267. The greatest factor of 3267 is 3267.

4. How to Find the GCF of 3261 and 3267?

Answer:

Greatest Common Factor of 3261 and 3267 = 3

Step 1: Find the prime factorization of 3261

3261 = 3 x 1087

Step 2: Find the prime factorization of 3267

3267 = 3 x 3 x 3 x 11 x 11

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 3261 and 3267 is 3