Greatest Common Factor of 7696 and 7697

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, 7697 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7696 and 7697 is 1.

GCF(7696,7697) = 1

GCF of 7696 and 7697

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

GCF of:
and

Greatest Common Factor of 7696 and 7697

GCF of 7696 and 7697 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 7697


43 7697
179 179
1

Prime factors of 7697 are 43,179. Prime factorization of 7697 in exponential form is:

7697 = 431×1791

∴ So by taking common prime factors GCF of 7696 and 7697 is 1

Greatest Common Factor of 7696 and 7697 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 7697

List of positive integer factors of 7697 that divides 7697 without a remainder.

1,43,179,7697

Greatest Common Factor

We found the factors and prime factorization of 7696 and 7697. The biggest common factor number is the GCF number.
So the greatest common factor 7696 and 7697 is 1.

Also check out the Least Common Multiple of 7696 and 7697

Properties of GCF 7696 and 7697

(i) The GCF of 7696 and 7697 is associative

GCF of 7696 and 7697 = GCF of 7697 and 7696

Related Greatest Common Factor of 7696

Related Greatest Common Factor of 7697

Frequently Asked Questions on GCF of 7696 and 7697

1. What is the GCF of 7696 and 7697?

Answer: GCF of 7696 and 7697 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 7697?

Answer: Factors of 7697 are 1, 43, 179, 7697. There are 4 integers that are factors of 7697. The greatest factor of 7697 is 7697.

4. How to Find the GCF of 7696 and 7697?

Answer:

Greatest Common Factor of 7696 and 7697 = 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 7697

7697 = 43 x 179

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 7697 is 1