Greatest Common Factor of 8640 and 8646

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 8640, 8646 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8640 and 8646 is 6.

GCF(8640,8646) = 6

GCF of 8640 and 8646

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

GCF of:
and

Greatest Common Factor of 8640 and 8646

GCF of 8640 and 8646 is 6

Prime Factorization of 8640


2 8640
2 4320
2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 8640 are 2,3,5. Prime factorization of 8640 in exponential form is:

8640 = 26×33×51

Prime Factorization of 8646


2 8646
3 4323
11 1441
131 131
1

Prime factors of 8646 are 2,3,11,131. Prime factorization of 8646 in exponential form is:

8646 = 21×31×111×1311

∴ So by taking common prime factors GCF of 8640 and 8646 is 6

Greatest Common Factor of 8640 and 8646 by matching factors method

Factors of 8640

List of positive integer factors of 8640 that divides 8640 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640

Factors of 8646

List of positive integer factors of 8646 that divides 8646 without a remainder.

1,2,3,6,11,22,33,66,131,262,393,786,1441,2882,4323,8646

Greatest Common Factor

We found the factors and prime factorization of 8640 and 8646. The biggest common factor number is the GCF number.
So the greatest common factor 8640 and 8646 is 6.

Also check out the Least Common Multiple of 8640 and 8646

Properties of GCF 8640 and 8646

(i) The GCF of 8640 and 8646 is associative

GCF of 8640 and 8646 = GCF of 8646 and 8640

Related Greatest Common Factor of 8640

Related Greatest Common Factor of 8646

Frequently Asked Questions on GCF of 8640 and 8646

1. What is the GCF of 8640 and 8646?

Answer: GCF of 8640 and 8646 is 6.

2. What are the Factors of 8640?

Answer: Factors of 8640 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 432, 480, 540, 576, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320, 8640. There are 56 integers that are factors of 8640. The greatest factor of 8640 is 8640.

3. What are the Factors of 8646?

Answer: Factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646. There are 16 integers that are factors of 8646. The greatest factor of 8646 is 8646.

4. How to Find the GCF of 8640 and 8646?

Answer:

Greatest Common Factor of 8640 and 8646 = 6

Step 1: Find the prime factorization of 8640

8640 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 8646

8646 = 2 x 3 x 11 x 131

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 8640 and 8646 is 6