Greatest Common Factor of 3289 and 3294

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 3289, 3294 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3289 and 3294 is 1.

GCF(3289,3294) = 1

GCF of 3289 and 3294

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

GCF of:
and

Greatest Common Factor of 3289 and 3294

GCF of 3289 and 3294 is 1

Prime Factorization of 3289


11 3289
13 299
23 23
1

Prime factors of 3289 are 11,13,23. Prime factorization of 3289 in exponential form is:

3289 = 111×131×231

Prime Factorization of 3294


2 3294
3 1647
3 549
3 183
61 61
1

Prime factors of 3294 are 2,3,61. Prime factorization of 3294 in exponential form is:

3294 = 21×33×611

∴ So by taking common prime factors GCF of 3289 and 3294 is 1

Greatest Common Factor of 3289 and 3294 by matching factors method

Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1,11,13,23,143,253,299,3289

Factors of 3294

List of positive integer factors of 3294 that divides 3294 without a remainder.

1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294

Greatest Common Factor

We found the factors and prime factorization of 3289 and 3294. The biggest common factor number is the GCF number.
So the greatest common factor 3289 and 3294 is 1.

Also check out the Least Common Multiple of 3289 and 3294

Properties of GCF 3289 and 3294

(i) The GCF of 3289 and 3294 is associative

GCF of 3289 and 3294 = GCF of 3294 and 3289

Related Greatest Common Factor of 3289

Related Greatest Common Factor of 3294

Frequently Asked Questions on GCF of 3289 and 3294

1. What is the GCF of 3289 and 3294?

Answer: GCF of 3289 and 3294 is 1.

2. What are the Factors of 3289?

Answer: Factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289. There are 8 integers that are factors of 3289. The greatest factor of 3289 is 3289.

3. What are the Factors of 3294?

Answer: Factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294. There are 16 integers that are factors of 3294. The greatest factor of 3294 is 3294.

4. How to Find the GCF of 3289 and 3294?

Answer:

Greatest Common Factor of 3289 and 3294 = 1

Step 1: Find the prime factorization of 3289

3289 = 11 x 13 x 23

Step 2: Find the prime factorization of 3294

3294 = 2 x 3 x 3 x 3 x 61

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3289 and 3294 is 1