Greatest Common Factor of 7680 and 7685

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, 7685 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7680 and 7685 is 5.

GCF(7680,7685) = 5

GCF of 7680 and 7685

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

GCF of:
and

Greatest Common Factor of 7680 and 7685

GCF of 7680 and 7685 is 5

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 7685


5 7685
29 1537
53 53
1

Prime factors of 7685 are 5,29,53. Prime factorization of 7685 in exponential form is:

7685 = 51×291×531

∴ So by taking common prime factors GCF of 7680 and 7685 is 5

Greatest Common Factor of 7680 and 7685 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 7685

List of positive integer factors of 7685 that divides 7685 without a remainder.

1,5,29,53,145,265,1537,7685

Greatest Common Factor

We found the factors and prime factorization of 7680 and 7685. The biggest common factor number is the GCF number.
So the greatest common factor 7680 and 7685 is 5.

Also check out the Least Common Multiple of 7680 and 7685

Properties of GCF 7680 and 7685

(i) The GCF of 7680 and 7685 is associative

GCF of 7680 and 7685 = GCF of 7685 and 7680

Related Greatest Common Factor of 7680

Related Greatest Common Factor of 7685

Frequently Asked Questions on GCF of 7680 and 7685

1. What is the GCF of 7680 and 7685?

Answer: GCF of 7680 and 7685 is 5.

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 7685?

Answer: Factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685. There are 8 integers that are factors of 7685. The greatest factor of 7685 is 7685.

4. How to Find the GCF of 7680 and 7685?

Answer:

Greatest Common Factor of 7680 and 7685 = 5

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 7685

7685 = 5 x 29 x 53

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 7680 and 7685 is 5