Greatest Common Factor of 3283 and 3289

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 3283, 3289 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3283 and 3289 is 1.

GCF(3283,3289) = 1

GCF of 3283 and 3289

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

GCF of:
and

Greatest Common Factor of 3283 and 3289

GCF of 3283 and 3289 is 1

Prime Factorization of 3283


7 3283
7 469
67 67
1

Prime factors of 3283 are 7,67. Prime factorization of 3283 in exponential form is:

3283 = 72×671

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

∴ So by taking common prime factors GCF of 3283 and 3289 is 1

Greatest Common Factor of 3283 and 3289 by matching factors method

Factors of 3283

List of positive integer factors of 3283 that divides 3283 without a remainder.

1,7,49,67,469,3283

Factors of 3289

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

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

Greatest Common Factor

We found the factors and prime factorization of 3283 and 3289. The biggest common factor number is the GCF number.
So the greatest common factor 3283 and 3289 is 1.

Also check out the Least Common Multiple of 3283 and 3289

Properties of GCF 3283 and 3289

(i) The GCF of 3283 and 3289 is associative

GCF of 3283 and 3289 = GCF of 3289 and 3283

Related Greatest Common Factor of 3283

Related Greatest Common Factor of 3289

Frequently Asked Questions on GCF of 3283 and 3289

1. What is the GCF of 3283 and 3289?

Answer: GCF of 3283 and 3289 is 1.

2. What are the Factors of 3283?

Answer: Factors of 3283 are 1, 7, 49, 67, 469, 3283. There are 6 integers that are factors of 3283. The greatest factor of 3283 is 3283.

3. 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.

4. How to Find the GCF of 3283 and 3289?

Answer:

Greatest Common Factor of 3283 and 3289 = 1

Step 1: Find the prime factorization of 3283

3283 = 7 x 7 x 67

Step 2: Find the prime factorization of 3289

3289 = 11 x 13 x 23

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 3283 and 3289 is 1