Greatest Common Factor of 7694 and 7700

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 7694, 7700 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7694 and 7700 is 2.

GCF(7694,7700) = 2

GCF of 7694 and 7700

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

GCF of:
and

Greatest Common Factor of 7694 and 7700

GCF of 7694 and 7700 is 2

Prime Factorization of 7694


2 7694
3847 3847
1

Prime factors of 7694 are 2,3847. Prime factorization of 7694 in exponential form is:

7694 = 21×38471

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

∴ So by taking common prime factors GCF of 7694 and 7700 is 2

Greatest Common Factor of 7694 and 7700 by matching factors method

Factors of 7694

List of positive integer factors of 7694 that divides 7694 without a remainder.

1,2,3847,7694

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

Greatest Common Factor

We found the factors and prime factorization of 7694 and 7700. The biggest common factor number is the GCF number.
So the greatest common factor 7694 and 7700 is 2.

Also check out the Least Common Multiple of 7694 and 7700

Properties of GCF 7694 and 7700

(i) The GCF of 7694 and 7700 is associative

GCF of 7694 and 7700 = GCF of 7700 and 7694

Related Greatest Common Factor of 7694

Related Greatest Common Factor of 7700

Frequently Asked Questions on GCF of 7694 and 7700

1. What is the GCF of 7694 and 7700?

Answer: GCF of 7694 and 7700 is 2.

2. What are the Factors of 7694?

Answer: Factors of 7694 are 1, 2, 3847, 7694. There are 4 integers that are factors of 7694. The greatest factor of 7694 is 7694.

3. 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.

4. How to Find the GCF of 7694 and 7700?

Answer:

Greatest Common Factor of 7694 and 7700 = 2

Step 1: Find the prime factorization of 7694

7694 = 2 x 3847

Step 2: Find the prime factorization of 7700

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

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 7694 and 7700 is 2