Greatest Common Factor of 7704 and 7710

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 7704, 7710 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7704 and 7710 is 6.

GCF(7704,7710) = 6

GCF of 7704 and 7710

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

GCF of:
and

Greatest Common Factor of 7704 and 7710

GCF of 7704 and 7710 is 6

Prime Factorization of 7704


2 7704
2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 7704 are 2,3,107. Prime factorization of 7704 in exponential form is:

7704 = 23×32×1071

Prime Factorization of 7710


2 7710
3 3855
5 1285
257 257
1

Prime factors of 7710 are 2,3,5,257. Prime factorization of 7710 in exponential form is:

7710 = 21×31×51×2571

∴ So by taking common prime factors GCF of 7704 and 7710 is 6

Greatest Common Factor of 7704 and 7710 by matching factors method

Factors of 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704

Factors of 7710

List of positive integer factors of 7710 that divides 7710 without a remainder.

1,2,3,5,6,10,15,30,257,514,771,1285,1542,2570,3855,7710

Greatest Common Factor

We found the factors and prime factorization of 7704 and 7710. The biggest common factor number is the GCF number.
So the greatest common factor 7704 and 7710 is 6.

Also check out the Least Common Multiple of 7704 and 7710

Properties of GCF 7704 and 7710

(i) The GCF of 7704 and 7710 is associative

GCF of 7704 and 7710 = GCF of 7710 and 7704

Related Greatest Common Factor of 7704

Related Greatest Common Factor of 7710

Frequently Asked Questions on GCF of 7704 and 7710

1. What is the GCF of 7704 and 7710?

Answer: GCF of 7704 and 7710 is 6.

2. What are the Factors of 7704?

Answer: Factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704. There are 24 integers that are factors of 7704. The greatest factor of 7704 is 7704.

3. What are the Factors of 7710?

Answer: Factors of 7710 are 1, 2, 3, 5, 6, 10, 15, 30, 257, 514, 771, 1285, 1542, 2570, 3855, 7710. There are 16 integers that are factors of 7710. The greatest factor of 7710 is 7710.

4. How to Find the GCF of 7704 and 7710?

Answer:

Greatest Common Factor of 7704 and 7710 = 6

Step 1: Find the prime factorization of 7704

7704 = 2 x 2 x 2 x 3 x 3 x 107

Step 2: Find the prime factorization of 7710

7710 = 2 x 3 x 5 x 257

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 7704 and 7710 is 6