Greatest Common Factor of 12234 and 12240

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 12234, 12240 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12234 and 12240 is 6.

GCF(12234,12240) = 6

GCF of 12234 and 12240

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

GCF of:
and

Greatest Common Factor of 12234 and 12240

GCF of 12234 and 12240 is 6

Prime Factorization of 12234


2 12234
3 6117
2039 2039
1

Prime factors of 12234 are 2,3,2039. Prime factorization of 12234 in exponential form is:

12234 = 21×31×20391

Prime Factorization of 12240


2 12240
2 6120
2 3060
2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 12240 are 2,3,5,17. Prime factorization of 12240 in exponential form is:

12240 = 24×32×51×171

∴ So by taking common prime factors GCF of 12234 and 12240 is 6

Greatest Common Factor of 12234 and 12240 by matching factors method

Factors of 12234

List of positive integer factors of 12234 that divides 12234 without a remainder.

1,2,3,6,2039,4078,6117,12234

Factors of 12240

List of positive integer factors of 12240 that divides 12240 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,17,18,20,24,30,34,36,40,45,48,51,60,68,72,80,85,90,102,120,136,144,153,170,180,204,240,255,272,306,340,360,408,510,612,680,720,765,816,1020,1224,1360,1530,2040,2448,3060,4080,6120,12240

Greatest Common Factor

We found the factors and prime factorization of 12234 and 12240. The biggest common factor number is the GCF number.
So the greatest common factor 12234 and 12240 is 6.

Also check out the Least Common Multiple of 12234 and 12240

Properties of GCF 12234 and 12240

(i) The GCF of 12234 and 12240 is associative

GCF of 12234 and 12240 = GCF of 12240 and 12234

Related Greatest Common Factor of 12234

Related Greatest Common Factor of 12240

Frequently Asked Questions on GCF of 12234 and 12240

1. What is the GCF of 12234 and 12240?

Answer: GCF of 12234 and 12240 is 6.

2. What are the Factors of 12234?

Answer: Factors of 12234 are 1, 2, 3, 6, 2039, 4078, 6117, 12234. There are 8 integers that are factors of 12234. The greatest factor of 12234 is 12234.

3. What are the Factors of 12240?

Answer: Factors of 12240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 102, 120, 136, 144, 153, 170, 180, 204, 240, 255, 272, 306, 340, 360, 408, 510, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1530, 2040, 2448, 3060, 4080, 6120, 12240. There are 60 integers that are factors of 12240. The greatest factor of 12240 is 12240.

4. How to Find the GCF of 12234 and 12240?

Answer:

Greatest Common Factor of 12234 and 12240 = 6

Step 1: Find the prime factorization of 12234

12234 = 2 x 3 x 2039

Step 2: Find the prime factorization of 12240

12240 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17

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 12234 and 12240 is 6