Greatest Common Factor of 7680 and 7688

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 7680, 7688 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7680 and 7688 is 8.

GCF(7680,7688) = 8

GCF of 7680 and 7688

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

GCF of:
and

Greatest Common Factor of 7680 and 7688

GCF of 7680 and 7688 is 8

Prime Factorization of 7680


2 7680
2 3840
2 1920
2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 7680 are 2,3,5. Prime factorization of 7680 in exponential form is:

7680 = 29×31×51

Prime Factorization of 7688


2 7688
2 3844
2 1922
31 961
31 31
1

Prime factors of 7688 are 2,31. Prime factorization of 7688 in exponential form is:

7688 = 23×312

∴ So by taking common prime factors GCF of 7680 and 7688 is 8

Greatest Common Factor of 7680 and 7688 by matching factors method

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680

Factors of 7688

List of positive integer factors of 7688 that divides 7688 without a remainder.

1,2,4,8,31,62,124,248,961,1922,3844,7688

Greatest Common Factor

We found the factors and prime factorization of 7680 and 7688. The biggest common factor number is the GCF number.
So the greatest common factor 7680 and 7688 is 8.

Also check out the Least Common Multiple of 7680 and 7688

Properties of GCF 7680 and 7688

(i) The GCF of 7680 and 7688 is associative

GCF of 7680 and 7688 = GCF of 7688 and 7680

Related Greatest Common Factor of 7680

Related Greatest Common Factor of 7688

Frequently Asked Questions on GCF of 7680 and 7688

1. What is the GCF of 7680 and 7688?

Answer: GCF of 7680 and 7688 is 8.

2. What are the Factors of 7680?

Answer: Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. There are 40 integers that are factors of 7680. The greatest factor of 7680 is 7680.

3. What are the Factors of 7688?

Answer: Factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688. There are 12 integers that are factors of 7688. The greatest factor of 7688 is 7688.

4. How to Find the GCF of 7680 and 7688?

Answer:

Greatest Common Factor of 7680 and 7688 = 8

Step 1: Find the prime factorization of 7680

7680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 7688

7688 = 2 x 2 x 2 x 31 x 31

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 7680 and 7688 is 8