Greatest Common Factor of 3209 and 3213

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 3209, 3213 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3209 and 3213 is 1.

GCF(3209,3213) = 1

GCF of 3209 and 3213

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

GCF of:
and

Greatest Common Factor of 3209 and 3213

GCF of 3209 and 3213 is 1

Prime Factorization of 3209


3209 3209
1

Prime factors of 3209 are 3209. Prime factorization of 3209 in exponential form is:

3209 = 32091

Prime Factorization of 3213


3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 3213 are 3.Prime factorization of 3213 in exponential form is:

3213 = 33×71×171

∴ So by taking common prime factors GCF of 3209 and 3213 is 1

Greatest Common Factor of 3209 and 3213 by matching factors method

Factors of 3209

List of positive integer factors of 3209 that divides 3209 without a remainder.

1,3209

Factors of 3213

List of positive integer factors of 3213 that divides 3213 without a remainder.

1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213

Greatest Common Factor

We found the factors and prime factorization of 3209 and 3213. The biggest common factor number is the GCF number.
So the greatest common factor 3209 and 3213 is 1.

Also check out the Least Common Multiple of 3209 and 3213

Properties of GCF 3209 and 3213

(i) The GCF of 3209 and 3213 is associative

GCF of 3209 and 3213 = GCF of 3213 and 3209

Related Greatest Common Factor of 3209

Related Greatest Common Factor of 3213

Frequently Asked Questions on GCF of 3209 and 3213

1. What is the GCF of 3209 and 3213?

Answer: GCF of 3209 and 3213 is 1.

2. What are the Factors of 3209?

Answer: Factors of 3209 are 1, 3209. There are 2 integers that are factors of 3209. The greatest factor of 3209 is 3209.

3. What are the Factors of 3213?

Answer: Factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213. There are 16 integers that are factors of 3213. The greatest factor of 3213 is 3213.

4. How to Find the GCF of 3209 and 3213?

Answer:

Greatest Common Factor of 3209 and 3213 = 1

Step 1: Find the prime factorization of 3209

3209 = 3209

Step 2: Find the prime factorization of 3213

3213 = 3 x 3 x 3 x 7 x 17

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 3209 and 3213 is 1