Greatest Common Factor of 12240 and 12245

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 12240, 12245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12240 and 12245 is 5.

GCF(12240,12245) = 5

GCF of 12240 and 12245

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

GCF of:
and

Greatest Common Factor of 12240 and 12245

GCF of 12240 and 12245 is 5

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

Prime Factorization of 12245


5 12245
31 2449
79 79
1

Prime factors of 12245 are 5,31,79. Prime factorization of 12245 in exponential form is:

12245 = 51×311×791

∴ So by taking common prime factors GCF of 12240 and 12245 is 5

Greatest Common Factor of 12240 and 12245 by matching factors method

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

Factors of 12245

List of positive integer factors of 12245 that divides 12245 without a remainder.

1,5,31,79,155,395,2449,12245

Greatest Common Factor

We found the factors and prime factorization of 12240 and 12245. The biggest common factor number is the GCF number.
So the greatest common factor 12240 and 12245 is 5.

Also check out the Least Common Multiple of 12240 and 12245

Properties of GCF 12240 and 12245

(i) The GCF of 12240 and 12245 is associative

GCF of 12240 and 12245 = GCF of 12245 and 12240

Related Greatest Common Factor of 12240

Related Greatest Common Factor of 12245

Frequently Asked Questions on GCF of 12240 and 12245

1. What is the GCF of 12240 and 12245?

Answer: GCF of 12240 and 12245 is 5.

2. 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.

3. What are the Factors of 12245?

Answer: Factors of 12245 are 1, 5, 31, 79, 155, 395, 2449, 12245. There are 8 integers that are factors of 12245. The greatest factor of 12245 is 12245.

4. How to Find the GCF of 12240 and 12245?

Answer:

Greatest Common Factor of 12240 and 12245 = 5

Step 1: Find the prime factorization of 12240

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

Step 2: Find the prime factorization of 12245

12245 = 5 x 31 x 79

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 12240 and 12245 is 5