Greatest Common Factor of 7692 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 7692, 7700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7692 and 7700 is 4.

GCF(7692,7700) = 4

GCF of 7692 and 7700

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

GCF of:
and

Greatest Common Factor of 7692 and 7700

GCF of 7692 and 7700 is 4

Prime Factorization of 7692


2 7692
2 3846
3 1923
641 641
1

Prime factors of 7692 are 2,3,641. Prime factorization of 7692 in exponential form is:

7692 = 22×31×6411

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 7692 and 7700 is 4

Greatest Common Factor of 7692 and 7700 by matching factors method

Factors of 7692

List of positive integer factors of 7692 that divides 7692 without a remainder.

1,2,3,4,6,12,641,1282,1923,2564,3846,7692

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 7692 and 7700. The biggest common factor number is the GCF number.
So the greatest common factor 7692 and 7700 is 4.

Also check out the Least Common Multiple of 7692 and 7700

Properties of GCF 7692 and 7700

(i) The GCF of 7692 and 7700 is associative

GCF of 7692 and 7700 = GCF of 7700 and 7692

Related Greatest Common Factor of 7692

Related Greatest Common Factor of 7700

Frequently Asked Questions on GCF of 7692 and 7700

1. What is the GCF of 7692 and 7700?

Answer: GCF of 7692 and 7700 is 4.

2. What are the Factors of 7692?

Answer: Factors of 7692 are 1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692. There are 12 integers that are factors of 7692. The greatest factor of 7692 is 7692.

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 7692 and 7700?

Answer:

Greatest Common Factor of 7692 and 7700 = 4

Step 1: Find the prime factorization of 7692

7692 = 2 x 2 x 3 x 641

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 7692 and 7700 is 4