Greatest Common Factor of 3204 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 3204, 3210 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3204 and 3210 is 6.

GCF(3204,3210) = 6

GCF of 3204 and 3210

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

GCF of:
and

Greatest Common Factor of 3204 and 3210

GCF of 3204 and 3210 is 6

Prime Factorization of 3204


2 3204
2 1602
3 801
3 267
89 89
1

Prime factors of 3204 are 2,3,89. Prime factorization of 3204 in exponential form is:

3204 = 22×32×891

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 3204 and 3210 is 6

Greatest Common Factor of 3204 and 3210 by matching factors method

Factors of 3204

List of positive integer factors of 3204 that divides 3204 without a remainder.

1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204

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 3204 and 3210. The biggest common factor number is the GCF number.
So the greatest common factor 3204 and 3210 is 6.

Also check out the Least Common Multiple of 3204 and 3210

Properties of GCF 3204 and 3210

(i) The GCF of 3204 and 3210 is associative

GCF of 3204 and 3210 = GCF of 3210 and 3204

Related Greatest Common Factor of 3204

Related Greatest Common Factor of 3210

Frequently Asked Questions on GCF of 3204 and 3210

1. What is the GCF of 3204 and 3210?

Answer: GCF of 3204 and 3210 is 6.

2. What are the Factors of 3204?

Answer: Factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204. There are 18 integers that are factors of 3204. The greatest factor of 3204 is 3204.

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 3204 and 3210?

Answer:

Greatest Common Factor of 3204 and 3210 = 6

Step 1: Find the prime factorization of 3204

3204 = 2 x 2 x 3 x 3 x 89

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3204 and 3210 is 6