Greatest Common Factor of 7700 and 7706

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 7700, 7706 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7700 and 7706 is 2.

GCF(7700,7706) = 2

GCF of 7700 and 7706

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

GCF of:
and

Greatest Common Factor of 7700 and 7706

GCF of 7700 and 7706 is 2

Prime Factorization of 7700


2 7700
2 3850
5 1925
5 385
7 77
11 11
1

Prime factors of 7700 are 2,5,7,11. Prime factorization of 7700 in exponential form is:

7700 = 22×52×71×111

Prime Factorization of 7706


2 7706
3853 3853
1

Prime factors of 7706 are 2,3853. Prime factorization of 7706 in exponential form is:

7706 = 21×38531

∴ So by taking common prime factors GCF of 7700 and 7706 is 2

Greatest Common Factor of 7700 and 7706 by matching factors method

Factors of 7700

List of positive integer factors of 7700 that divides 7700 without a remainder.

1,2,4,5,7,10,11,14,20,22,25,28,35,44,50,55,70,77,100,110,140,154,175,220,275,308,350,385,550,700,770,1100,1540,1925,3850,7700

Factors of 7706

List of positive integer factors of 7706 that divides 7706 without a remainder.

1,2,3853,7706

Greatest Common Factor

We found the factors and prime factorization of 7700 and 7706. The biggest common factor number is the GCF number.
So the greatest common factor 7700 and 7706 is 2.

Also check out the Least Common Multiple of 7700 and 7706

Properties of GCF 7700 and 7706

(i) The GCF of 7700 and 7706 is associative

GCF of 7700 and 7706 = GCF of 7706 and 7700

Related Greatest Common Factor of 7700

Related Greatest Common Factor of 7706

Frequently Asked Questions on GCF of 7700 and 7706

1. What is the GCF of 7700 and 7706?

Answer: GCF of 7700 and 7706 is 2.

2. What are the Factors of 7700?

Answer: Factors of 7700 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850, 7700. There are 36 integers that are factors of 7700. The greatest factor of 7700 is 7700.

3. What are the Factors of 7706?

Answer: Factors of 7706 are 1, 2, 3853, 7706. There are 4 integers that are factors of 7706. The greatest factor of 7706 is 7706.

4. How to Find the GCF of 7700 and 7706?

Answer:

Greatest Common Factor of 7700 and 7706 = 2

Step 1: Find the prime factorization of 7700

7700 = 2 x 2 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 7706

7706 = 2 x 3853

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 7700 and 7706 is 2