Greatest Common Factor of 8640 and 8645

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, 8645 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8640 and 8645 is 5.

GCF(8640,8645) = 5

GCF of 8640 and 8645

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

GCF of:
and

Greatest Common Factor of 8640 and 8645

GCF of 8640 and 8645 is 5

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 8645


5 8645
7 1729
13 247
19 19
1

Prime factors of 8645 are 5,7,13,19. Prime factorization of 8645 in exponential form is:

8645 = 51×71×131×191

∴ So by taking common prime factors GCF of 8640 and 8645 is 5

Greatest Common Factor of 8640 and 8645 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 8645

List of positive integer factors of 8645 that divides 8645 without a remainder.

1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645

Greatest Common Factor

We found the factors and prime factorization of 8640 and 8645. The biggest common factor number is the GCF number.
So the greatest common factor 8640 and 8645 is 5.

Also check out the Least Common Multiple of 8640 and 8645

Properties of GCF 8640 and 8645

(i) The GCF of 8640 and 8645 is associative

GCF of 8640 and 8645 = GCF of 8645 and 8640

Related Greatest Common Factor of 8640

Related Greatest Common Factor of 8645

Frequently Asked Questions on GCF of 8640 and 8645

1. What is the GCF of 8640 and 8645?

Answer: GCF of 8640 and 8645 is 5.

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 8645?

Answer: Factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645. There are 16 integers that are factors of 8645. The greatest factor of 8645 is 8645.

4. How to Find the GCF of 8640 and 8645?

Answer:

Greatest Common Factor of 8640 and 8645 = 5

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 8645

8645 = 5 x 7 x 13 x 19

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 8640 and 8645 is 5