Greatest Common Factor of 3225 and 3230

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 3225, 3230 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3225 and 3230 is 5.

GCF(3225,3230) = 5

GCF of 3225 and 3230

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

GCF of:
and

Greatest Common Factor of 3225 and 3230

GCF of 3225 and 3230 is 5

Prime Factorization of 3225


3 3225
5 1075
5 215
43 43
1

Prime factors of 3225 are 3,5,43. Prime factorization of 3225 in exponential form is:

3225 = 31×52×431

Prime Factorization of 3230


2 3230
5 1615
17 323
19 19
1

Prime factors of 3230 are 2,5,17,19. Prime factorization of 3230 in exponential form is:

3230 = 21×51×171×191

∴ So by taking common prime factors GCF of 3225 and 3230 is 5

Greatest Common Factor of 3225 and 3230 by matching factors method

Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1,3,5,15,25,43,75,129,215,645,1075,3225

Factors of 3230

List of positive integer factors of 3230 that divides 3230 without a remainder.

1,2,5,10,17,19,34,38,85,95,170,190,323,646,1615,3230

Greatest Common Factor

We found the factors and prime factorization of 3225 and 3230. The biggest common factor number is the GCF number.
So the greatest common factor 3225 and 3230 is 5.

Also check out the Least Common Multiple of 3225 and 3230

Properties of GCF 3225 and 3230

(i) The GCF of 3225 and 3230 is associative

GCF of 3225 and 3230 = GCF of 3230 and 3225

Related Greatest Common Factor of 3225

Related Greatest Common Factor of 3230

Frequently Asked Questions on GCF of 3225 and 3230

1. What is the GCF of 3225 and 3230?

Answer: GCF of 3225 and 3230 is 5.

2. What are the Factors of 3225?

Answer: Factors of 3225 are 1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225. There are 12 integers that are factors of 3225. The greatest factor of 3225 is 3225.

3. What are the Factors of 3230?

Answer: Factors of 3230 are 1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230. There are 16 integers that are factors of 3230. The greatest factor of 3230 is 3230.

4. How to Find the GCF of 3225 and 3230?

Answer:

Greatest Common Factor of 3225 and 3230 = 5

Step 1: Find the prime factorization of 3225

3225 = 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 3230

3230 = 2 x 5 x 17 x 19

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3225 and 3230 is 5