Greatest Common Factor of 8640 and 8648

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, 8648 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8640 and 8648 is 8.

GCF(8640,8648) = 8

GCF of 8640 and 8648

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

GCF of:
and

Greatest Common Factor of 8640 and 8648

GCF of 8640 and 8648 is 8

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 8648


2 8648
2 4324
2 2162
23 1081
47 47
1

Prime factors of 8648 are 2,23,47. Prime factorization of 8648 in exponential form is:

8648 = 23×231×471

∴ So by taking common prime factors GCF of 8640 and 8648 is 8

Greatest Common Factor of 8640 and 8648 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 8648

List of positive integer factors of 8648 that divides 8648 without a remainder.

1,2,4,8,23,46,47,92,94,184,188,376,1081,2162,4324,8648

Greatest Common Factor

We found the factors and prime factorization of 8640 and 8648. The biggest common factor number is the GCF number.
So the greatest common factor 8640 and 8648 is 8.

Also check out the Least Common Multiple of 8640 and 8648

Properties of GCF 8640 and 8648

(i) The GCF of 8640 and 8648 is associative

GCF of 8640 and 8648 = GCF of 8648 and 8640

Related Greatest Common Factor of 8640

Related Greatest Common Factor of 8648

Frequently Asked Questions on GCF of 8640 and 8648

1. What is the GCF of 8640 and 8648?

Answer: GCF of 8640 and 8648 is 8.

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 8648?

Answer: Factors of 8648 are 1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648. There are 16 integers that are factors of 8648. The greatest factor of 8648 is 8648.

4. How to Find the GCF of 8640 and 8648?

Answer:

Greatest Common Factor of 8640 and 8648 = 8

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 8648

8648 = 2 x 2 x 2 x 23 x 47

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8640 and 8648 is 8