Greatest Common Factor of 7698 and 7704

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 7698, 7704 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7698 and 7704 is 6.

GCF(7698,7704) = 6

GCF of 7698 and 7704

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

GCF of:
and

Greatest Common Factor of 7698 and 7704

GCF of 7698 and 7704 is 6

Prime Factorization of 7698


2 7698
3 3849
1283 1283
1

Prime factors of 7698 are 2,3,1283. Prime factorization of 7698 in exponential form is:

7698 = 21×31×12831

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

∴ So by taking common prime factors GCF of 7698 and 7704 is 6

Greatest Common Factor of 7698 and 7704 by matching factors method

Factors of 7698

List of positive integer factors of 7698 that divides 7698 without a remainder.

1,2,3,6,1283,2566,3849,7698

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

Greatest Common Factor

We found the factors and prime factorization of 7698 and 7704. The biggest common factor number is the GCF number.
So the greatest common factor 7698 and 7704 is 6.

Also check out the Least Common Multiple of 7698 and 7704

Properties of GCF 7698 and 7704

(i) The GCF of 7698 and 7704 is associative

GCF of 7698 and 7704 = GCF of 7704 and 7698

Related Greatest Common Factor of 7698

Related Greatest Common Factor of 7704

Frequently Asked Questions on GCF of 7698 and 7704

1. What is the GCF of 7698 and 7704?

Answer: GCF of 7698 and 7704 is 6.

2. What are the Factors of 7698?

Answer: Factors of 7698 are 1, 2, 3, 6, 1283, 2566, 3849, 7698. There are 8 integers that are factors of 7698. The greatest factor of 7698 is 7698.

3. 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.

4. How to Find the GCF of 7698 and 7704?

Answer:

Greatest Common Factor of 7698 and 7704 = 6

Step 1: Find the prime factorization of 7698

7698 = 2 x 3 x 1283

Step 2: Find the prime factorization of 7704

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

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 7698 and 7704 is 6