Greatest Common Factor of 3213 and 3217

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 3213, 3217 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3213 and 3217 is 1.

GCF(3213,3217) = 1

GCF of 3213 and 3217

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

GCF of:
and

Greatest Common Factor of 3213 and 3217

GCF of 3213 and 3217 is 1

Prime Factorization of 3213


3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 3213 are 3,7,17. Prime factorization of 3213 in exponential form is:

3213 = 33×71×171

Prime Factorization of 3217


3217 3217
1

Prime factors of 3217 are 3217. Prime factorization of 3217 in exponential form is:

3217 = 32171

∴ So by taking common prime factors GCF of 3213 and 3217 is 1

Greatest Common Factor of 3213 and 3217 by matching factors method

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

Factors of 3217

List of positive integer factors of 3217 that divides 3217 without a remainder.

1,3217

Greatest Common Factor

We found the factors and prime factorization of 3213 and 3217. The biggest common factor number is the GCF number.
So the greatest common factor 3213 and 3217 is 1.

Also check out the Least Common Multiple of 3213 and 3217

Properties of GCF 3213 and 3217

(i) The GCF of 3213 and 3217 is associative

GCF of 3213 and 3217 = GCF of 3217 and 3213

Related Greatest Common Factor of 3213

Related Greatest Common Factor of 3217

Frequently Asked Questions on GCF of 3213 and 3217

1. What is the GCF of 3213 and 3217?

Answer: GCF of 3213 and 3217 is 1.

2. 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.

3. What are the Factors of 3217?

Answer: Factors of 3217 are 1, 3217. There are 2 integers that are factors of 3217. The greatest factor of 3217 is 3217.

4. How to Find the GCF of 3213 and 3217?

Answer:

Greatest Common Factor of 3213 and 3217 = 1

Step 1: Find the prime factorization of 3213

3213 = 3 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 3217

3217 = 3217

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 3213 and 3217 is 1