Greatest Common Factor of 8640 and 8642

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, 8642 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8640 and 8642 is 2.

GCF(8640,8642) = 2

GCF of 8640 and 8642

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

GCF of:
and

Greatest Common Factor of 8640 and 8642

GCF of 8640 and 8642 is 2

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 8642


2 8642
29 4321
149 149
1

Prime factors of 8642 are 2,29,149. Prime factorization of 8642 in exponential form is:

8642 = 21×291×1491

∴ So by taking common prime factors GCF of 8640 and 8642 is 2

Greatest Common Factor of 8640 and 8642 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 8642

List of positive integer factors of 8642 that divides 8642 without a remainder.

1,2,29,58,149,298,4321,8642

Greatest Common Factor

We found the factors and prime factorization of 8640 and 8642. The biggest common factor number is the GCF number.
So the greatest common factor 8640 and 8642 is 2.

Also check out the Least Common Multiple of 8640 and 8642

Properties of GCF 8640 and 8642

(i) The GCF of 8640 and 8642 is associative

GCF of 8640 and 8642 = GCF of 8642 and 8640

Related Greatest Common Factor of 8640

Related Greatest Common Factor of 8642

Frequently Asked Questions on GCF of 8640 and 8642

1. What is the GCF of 8640 and 8642?

Answer: GCF of 8640 and 8642 is 2.

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 8642?

Answer: Factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642. There are 8 integers that are factors of 8642. The greatest factor of 8642 is 8642.

4. How to Find the GCF of 8640 and 8642?

Answer:

Greatest Common Factor of 8640 and 8642 = 2

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 8642

8642 = 2 x 29 x 149

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 8640 and 8642 is 2