Greatest Common Factor of 7700 and 7705

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, 7705 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7700 and 7705 is 5.

GCF(7700,7705) = 5

GCF of 7700 and 7705

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

GCF of:
and

Greatest Common Factor of 7700 and 7705

GCF of 7700 and 7705 is 5

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 7705


5 7705
23 1541
67 67
1

Prime factors of 7705 are 5,23,67. Prime factorization of 7705 in exponential form is:

7705 = 51×231×671

∴ So by taking common prime factors GCF of 7700 and 7705 is 5

Greatest Common Factor of 7700 and 7705 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 7705

List of positive integer factors of 7705 that divides 7705 without a remainder.

1,5,23,67,115,335,1541,7705

Greatest Common Factor

We found the factors and prime factorization of 7700 and 7705. The biggest common factor number is the GCF number.
So the greatest common factor 7700 and 7705 is 5.

Also check out the Least Common Multiple of 7700 and 7705

Properties of GCF 7700 and 7705

(i) The GCF of 7700 and 7705 is associative

GCF of 7700 and 7705 = GCF of 7705 and 7700

Related Greatest Common Factor of 7700

Related Greatest Common Factor of 7705

Frequently Asked Questions on GCF of 7700 and 7705

1. What is the GCF of 7700 and 7705?

Answer: GCF of 7700 and 7705 is 5.

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 7705?

Answer: Factors of 7705 are 1, 5, 23, 67, 115, 335, 1541, 7705. There are 8 integers that are factors of 7705. The greatest factor of 7705 is 7705.

4. How to Find the GCF of 7700 and 7705?

Answer:

Greatest Common Factor of 7700 and 7705 = 5

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 7705

7705 = 5 x 23 x 67

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7700 and 7705 is 5