Greatest Common Factor of 3279 and 3284

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 3279, 3284 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3279 and 3284 is 1.

GCF(3279,3284) = 1

GCF of 3279 and 3284

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

GCF of:
and

Greatest Common Factor of 3279 and 3284

GCF of 3279 and 3284 is 1

Prime Factorization of 3279


3 3279
1093 1093
1

Prime factors of 3279 are 3,1093. Prime factorization of 3279 in exponential form is:

3279 = 31×10931

Prime Factorization of 3284


2 3284
2 1642
821 821
1

Prime factors of 3284 are 2,821. Prime factorization of 3284 in exponential form is:

3284 = 22×8211

∴ So by taking common prime factors GCF of 3279 and 3284 is 1

Greatest Common Factor of 3279 and 3284 by matching factors method

Factors of 3279

List of positive integer factors of 3279 that divides 3279 without a remainder.

1,3,1093,3279

Factors of 3284

List of positive integer factors of 3284 that divides 3284 without a remainder.

1,2,4,821,1642,3284

Greatest Common Factor

We found the factors and prime factorization of 3279 and 3284. The biggest common factor number is the GCF number.
So the greatest common factor 3279 and 3284 is 1.

Also check out the Least Common Multiple of 3279 and 3284

Properties of GCF 3279 and 3284

(i) The GCF of 3279 and 3284 is associative

GCF of 3279 and 3284 = GCF of 3284 and 3279

Frequently Asked Questions on GCF of 3279 and 3284

1. What is the GCF of 3279 and 3284?

Answer: GCF of 3279 and 3284 is 1.

2. What are the Factors of 3279?

Answer: Factors of 3279 are 1, 3, 1093, 3279. There are 4 integers that are factors of 3279. The greatest factor of 3279 is 3279.

3. What are the Factors of 3284?

Answer: Factors of 3284 are 1, 2, 4, 821, 1642, 3284. There are 6 integers that are factors of 3284. The greatest factor of 3284 is 3284.

4. How to Find the GCF of 3279 and 3284?

Answer:

Greatest Common Factor of 3279 and 3284 = 1

Step 1: Find the prime factorization of 3279

3279 = 3 x 1093

Step 2: Find the prime factorization of 3284

3284 = 2 x 2 x 821

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 3279 and 3284 is 1