Greatest Common Factor of 7696 and 7702

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, 7702 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7696 and 7702 is 2.

GCF(7696,7702) = 2

GCF of 7696 and 7702

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

GCF of:
and

Greatest Common Factor of 7696 and 7702

GCF of 7696 and 7702 is 2

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 7702


2 7702
3851 3851
1

Prime factors of 7702 are 2,3851. Prime factorization of 7702 in exponential form is:

7702 = 21×38511

∴ So by taking common prime factors GCF of 7696 and 7702 is 2

Greatest Common Factor of 7696 and 7702 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 7702

List of positive integer factors of 7702 that divides 7702 without a remainder.

1,2,3851,7702

Greatest Common Factor

We found the factors and prime factorization of 7696 and 7702. The biggest common factor number is the GCF number.
So the greatest common factor 7696 and 7702 is 2.

Also check out the Least Common Multiple of 7696 and 7702

Properties of GCF 7696 and 7702

(i) The GCF of 7696 and 7702 is associative

GCF of 7696 and 7702 = GCF of 7702 and 7696

Related Greatest Common Factor of 7696

Related Greatest Common Factor of 7702

Frequently Asked Questions on GCF of 7696 and 7702

1. What is the GCF of 7696 and 7702?

Answer: GCF of 7696 and 7702 is 2.

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 7702?

Answer: Factors of 7702 are 1, 2, 3851, 7702. There are 4 integers that are factors of 7702. The greatest factor of 7702 is 7702.

4. How to Find the GCF of 7696 and 7702?

Answer:

Greatest Common Factor of 7696 and 7702 = 2

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 7702

7702 = 2 x 3851

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7696 and 7702 is 2