Greatest Common Factor of 7704 and 7712

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, 7712 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7704 and 7712 is 8.

GCF(7704,7712) = 8

GCF of 7704 and 7712

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

GCF of:
and

Greatest Common Factor of 7704 and 7712

GCF of 7704 and 7712 is 8

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 7712


2 7712
2 3856
2 1928
2 964
2 482
241 241
1

Prime factors of 7712 are 2,241. Prime factorization of 7712 in exponential form is:

7712 = 25×2411

∴ So by taking common prime factors GCF of 7704 and 7712 is 8

Greatest Common Factor of 7704 and 7712 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 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1,2,4,8,16,32,241,482,964,1928,3856,7712

Greatest Common Factor

We found the factors and prime factorization of 7704 and 7712. The biggest common factor number is the GCF number.
So the greatest common factor 7704 and 7712 is 8.

Also check out the Least Common Multiple of 7704 and 7712

Properties of GCF 7704 and 7712

(i) The GCF of 7704 and 7712 is associative

GCF of 7704 and 7712 = GCF of 7712 and 7704

Related Greatest Common Factor of 7704

Related Greatest Common Factor of 7712

Frequently Asked Questions on GCF of 7704 and 7712

1. What is the GCF of 7704 and 7712?

Answer: GCF of 7704 and 7712 is 8.

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 7712?

Answer: Factors of 7712 are 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712. There are 12 integers that are factors of 7712. The greatest factor of 7712 is 7712.

4. How to Find the GCF of 7704 and 7712?

Answer:

Greatest Common Factor of 7704 and 7712 = 8

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 7712

7712 = 2 x 2 x 2 x 2 x 2 x 241

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7704 and 7712 is 8