Greatest Common Factor of 7696 and 7699

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 7696, 7699 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7696 and 7699 is 1.

GCF(7696,7699) = 1

GCF of 7696 and 7699

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

GCF of:
and

Greatest Common Factor of 7696 and 7699

GCF of 7696 and 7699 is 1

Prime Factorization of 7696


2 7696
2 3848
2 1924
2 962
13 481
37 37
1

Prime factors of 7696 are 2,13,37. Prime factorization of 7696 in exponential form is:

7696 = 24×131×371

Prime Factorization of 7699


7699 7699
1

Prime factors of 7699 are 7699. Prime factorization of 7699 in exponential form is:

7699 = 76991

∴ So by taking common prime factors GCF of 7696 and 7699 is 1

Greatest Common Factor of 7696 and 7699 by matching factors method

Factors of 7696

List of positive integer factors of 7696 that divides 7696 without a remainder.

1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696

Factors of 7699

List of positive integer factors of 7699 that divides 7699 without a remainder.

1,7699

Greatest Common Factor

We found the factors and prime factorization of 7696 and 7699. The biggest common factor number is the GCF number.
So the greatest common factor 7696 and 7699 is 1.

Also check out the Least Common Multiple of 7696 and 7699

Properties of GCF 7696 and 7699

(i) The GCF of 7696 and 7699 is associative

GCF of 7696 and 7699 = GCF of 7699 and 7696

Related Greatest Common Factor of 7696

Related Greatest Common Factor of 7699

Frequently Asked Questions on GCF of 7696 and 7699

1. What is the GCF of 7696 and 7699?

Answer: GCF of 7696 and 7699 is 1.

2. What are the Factors of 7696?

Answer: Factors of 7696 are 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696. There are 20 integers that are factors of 7696. The greatest factor of 7696 is 7696.

3. What are the Factors of 7699?

Answer: Factors of 7699 are 1, 7699. There are 2 integers that are factors of 7699. The greatest factor of 7699 is 7699.

4. How to Find the GCF of 7696 and 7699?

Answer:

Greatest Common Factor of 7696 and 7699 = 1

Step 1: Find the prime factorization of 7696

7696 = 2 x 2 x 2 x 2 x 13 x 37

Step 2: Find the prime factorization of 7699

7699 = 7699

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 7696 and 7699 is 1