Greatest Common Factor of 7674 and 7680

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 7674, 7680 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7674 and 7680 is 6.

GCF(7674,7680) = 6

GCF of 7674 and 7680

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

GCF of:
and

Greatest Common Factor of 7674 and 7680

GCF of 7674 and 7680 is 6

Prime Factorization of 7674


2 7674
3 3837
1279 1279
1

Prime factors of 7674 are 2,3,1279. Prime factorization of 7674 in exponential form is:

7674 = 21×31×12791

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

∴ So by taking common prime factors GCF of 7674 and 7680 is 6

Greatest Common Factor of 7674 and 7680 by matching factors method

Factors of 7674

List of positive integer factors of 7674 that divides 7674 without a remainder.

1,2,3,6,1279,2558,3837,7674

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

Greatest Common Factor

We found the factors and prime factorization of 7674 and 7680. The biggest common factor number is the GCF number.
So the greatest common factor 7674 and 7680 is 6.

Also check out the Least Common Multiple of 7674 and 7680

Properties of GCF 7674 and 7680

(i) The GCF of 7674 and 7680 is associative

GCF of 7674 and 7680 = GCF of 7680 and 7674

Related Greatest Common Factor of 7674

Related Greatest Common Factor of 7680

Frequently Asked Questions on GCF of 7674 and 7680

1. What is the GCF of 7674 and 7680?

Answer: GCF of 7674 and 7680 is 6.

2. What are the Factors of 7674?

Answer: Factors of 7674 are 1, 2, 3, 6, 1279, 2558, 3837, 7674. There are 8 integers that are factors of 7674. The greatest factor of 7674 is 7674.

3. 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.

4. How to Find the GCF of 7674 and 7680?

Answer:

Greatest Common Factor of 7674 and 7680 = 6

Step 1: Find the prime factorization of 7674

7674 = 2 x 3 x 1279

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7674 and 7680 is 6