Greatest Common Factor of 8635 and 8640

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 8635, 8640 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8635 and 8640 is 5.

GCF(8635,8640) = 5

GCF of 8635 and 8640

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

GCF of:
and

Greatest Common Factor of 8635 and 8640

GCF of 8635 and 8640 is 5

Prime Factorization of 8635


5 8635
11 1727
157 157
1

Prime factors of 8635 are 5,11,157. Prime factorization of 8635 in exponential form is:

8635 = 51×111×1571

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

∴ So by taking common prime factors GCF of 8635 and 8640 is 5

Greatest Common Factor of 8635 and 8640 by matching factors method

Factors of 8635

List of positive integer factors of 8635 that divides 8635 without a remainder.

1,5,11,55,157,785,1727,8635

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

Greatest Common Factor

We found the factors and prime factorization of 8635 and 8640. The biggest common factor number is the GCF number.
So the greatest common factor 8635 and 8640 is 5.

Also check out the Least Common Multiple of 8635 and 8640

Properties of GCF 8635 and 8640

(i) The GCF of 8635 and 8640 is associative

GCF of 8635 and 8640 = GCF of 8640 and 8635

Related Greatest Common Factor of 8635

Related Greatest Common Factor of 8640

Frequently Asked Questions on GCF of 8635 and 8640

1. What is the GCF of 8635 and 8640?

Answer: GCF of 8635 and 8640 is 5.

2. What are the Factors of 8635?

Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.

3. 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.

4. How to Find the GCF of 8635 and 8640?

Answer:

Greatest Common Factor of 8635 and 8640 = 5

Step 1: Find the prime factorization of 8635

8635 = 5 x 11 x 157

Step 2: 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 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 8635 and 8640 is 5