Greatest Common Factor of 3213 and 3220

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, 3220 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3213 and 3220 is 7.

GCF(3213,3220) = 7

GCF of 3213 and 3220

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

GCF of:
and

Greatest Common Factor of 3213 and 3220

GCF of 3213 and 3220 is 7

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 3220


2 3220
2 1610
5 805
7 161
23 23
1

Prime factors of 3220 are 2,5,7,23. Prime factorization of 3220 in exponential form is:

3220 = 22×51×71×231

∴ So by taking common prime factors GCF of 3213 and 3220 is 7

Greatest Common Factor of 3213 and 3220 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 3220

List of positive integer factors of 3220 that divides 3220 without a remainder.

1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220

Greatest Common Factor

We found the factors and prime factorization of 3213 and 3220. The biggest common factor number is the GCF number.
So the greatest common factor 3213 and 3220 is 7.

Also check out the Least Common Multiple of 3213 and 3220

Properties of GCF 3213 and 3220

(i) The GCF of 3213 and 3220 is associative

GCF of 3213 and 3220 = GCF of 3220 and 3213

Related Greatest Common Factor of 3213

Related Greatest Common Factor of 3220

Frequently Asked Questions on GCF of 3213 and 3220

1. What is the GCF of 3213 and 3220?

Answer: GCF of 3213 and 3220 is 7.

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 3220?

Answer: Factors of 3220 are 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220. There are 24 integers that are factors of 3220. The greatest factor of 3220 is 3220.

4. How to Find the GCF of 3213 and 3220?

Answer:

Greatest Common Factor of 3213 and 3220 = 7

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 3220

3220 = 2 x 2 x 5 x 7 x 23

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3213 and 3220 is 7