Greatest Common Factor of 3205 and 3210

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 3205, 3210 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3205 and 3210 is 5.

GCF(3205,3210) = 5

GCF of 3205 and 3210

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

GCF of:
and

Greatest Common Factor of 3205 and 3210

GCF of 3205 and 3210 is 5

Prime Factorization of 3205


5 3205
641 641
1

Prime factors of 3205 are 5,641. Prime factorization of 3205 in exponential form is:

3205 = 51×6411

Prime Factorization of 3210


2 3210
3 1605
5 535
107 107
1

Prime factors of 3210 are 2,3,5,107. Prime factorization of 3210 in exponential form is:

3210 = 21×31×51×1071

∴ So by taking common prime factors GCF of 3205 and 3210 is 5

Greatest Common Factor of 3205 and 3210 by matching factors method

Factors of 3205

List of positive integer factors of 3205 that divides 3205 without a remainder.

1,5,641,3205

Factors of 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210

Greatest Common Factor

We found the factors and prime factorization of 3205 and 3210. The biggest common factor number is the GCF number.
So the greatest common factor 3205 and 3210 is 5.

Also check out the Least Common Multiple of 3205 and 3210

Properties of GCF 3205 and 3210

(i) The GCF of 3205 and 3210 is associative

GCF of 3205 and 3210 = GCF of 3210 and 3205

Related Greatest Common Factor of 3205

Related Greatest Common Factor of 3210

Frequently Asked Questions on GCF of 3205 and 3210

1. What is the GCF of 3205 and 3210?

Answer: GCF of 3205 and 3210 is 5.

2. What are the Factors of 3205?

Answer: Factors of 3205 are 1, 5, 641, 3205. There are 4 integers that are factors of 3205. The greatest factor of 3205 is 3205.

3. What are the Factors of 3210?

Answer: Factors of 3210 are 1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210. There are 16 integers that are factors of 3210. The greatest factor of 3210 is 3210.

4. How to Find the GCF of 3205 and 3210?

Answer:

Greatest Common Factor of 3205 and 3210 = 5

Step 1: Find the prime factorization of 3205

3205 = 5 x 641

Step 2: Find the prime factorization of 3210

3210 = 2 x 3 x 5 x 107

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 3205 and 3210 is 5