Greatest Common Factor of 7680 and 7687

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, 7687 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7680 and 7687 is 1.

GCF(7680,7687) = 1

GCF of 7680 and 7687

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

GCF of:
and

Greatest Common Factor of 7680 and 7687

GCF of 7680 and 7687 is 1

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 7687


7687 7687
1

Prime factors of 7687 are 7687. Prime factorization of 7687 in exponential form is:

7687 = 76871

∴ So by taking common prime factors GCF of 7680 and 7687 is 1

Greatest Common Factor of 7680 and 7687 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 7687

List of positive integer factors of 7687 that divides 7687 without a remainder.

1,7687

Greatest Common Factor

We found the factors and prime factorization of 7680 and 7687. The biggest common factor number is the GCF number.
So the greatest common factor 7680 and 7687 is 1.

Also check out the Least Common Multiple of 7680 and 7687

Properties of GCF 7680 and 7687

(i) The GCF of 7680 and 7687 is associative

GCF of 7680 and 7687 = GCF of 7687 and 7680

Related Greatest Common Factor of 7680

Related Greatest Common Factor of 7687

Frequently Asked Questions on GCF of 7680 and 7687

1. What is the GCF of 7680 and 7687?

Answer: GCF of 7680 and 7687 is 1.

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 7687?

Answer: Factors of 7687 are 1, 7687. There are 2 integers that are factors of 7687. The greatest factor of 7687 is 7687.

4. How to Find the GCF of 7680 and 7687?

Answer:

Greatest Common Factor of 7680 and 7687 = 1

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 7687

7687 = 7687

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7680 and 7687 is 1