Greatest Common Factor of 3234 and 3240

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 3234, 3240 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3234 and 3240 is 6.

GCF(3234,3240) = 6

GCF of 3234 and 3240

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

GCF of:
and

Greatest Common Factor of 3234 and 3240

GCF of 3234 and 3240 is 6

Prime Factorization of 3234


2 3234
3 1617
7 539
7 77
11 11
1

Prime factors of 3234 are 2,3,7,11. Prime factorization of 3234 in exponential form is:

3234 = 21×31×72×111

Prime Factorization of 3240


2 3240
2 1620
2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 3240 are 2,3,5. Prime factorization of 3240 in exponential form is:

3240 = 23×34×51

∴ So by taking common prime factors GCF of 3234 and 3240 is 6

Greatest Common Factor of 3234 and 3240 by matching factors method

Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234

Factors of 3240

List of positive integer factors of 3240 that divides 3240 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,270,324,360,405,540,648,810,1080,1620,3240

Greatest Common Factor

We found the factors and prime factorization of 3234 and 3240. The biggest common factor number is the GCF number.
So the greatest common factor 3234 and 3240 is 6.

Also check out the Least Common Multiple of 3234 and 3240

Properties of GCF 3234 and 3240

(i) The GCF of 3234 and 3240 is associative

GCF of 3234 and 3240 = GCF of 3240 and 3234

Related Greatest Common Factor of 3234

Related Greatest Common Factor of 3240

Frequently Asked Questions on GCF of 3234 and 3240

1. What is the GCF of 3234 and 3240?

Answer: GCF of 3234 and 3240 is 6.

2. What are the Factors of 3234?

Answer: Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234. There are 24 integers that are factors of 3234. The greatest factor of 3234 is 3234.

3. What are the Factors of 3240?

Answer: Factors of 3240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620, 3240. There are 40 integers that are factors of 3240. The greatest factor of 3240 is 3240.

4. How to Find the GCF of 3234 and 3240?

Answer:

Greatest Common Factor of 3234 and 3240 = 6

Step 1: Find the prime factorization of 3234

3234 = 2 x 3 x 7 x 7 x 11

Step 2: Find the prime factorization of 3240

3240 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5

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 3234 and 3240 is 6