Greatest Common Factor of 9680 and 9688

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 9680, 9688 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9680 and 9688 is 8.

GCF(9680,9688) = 8

GCF of 9680 and 9688

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

GCF of:
and

Greatest Common Factor of 9680 and 9688

GCF of 9680 and 9688 is 8

Prime Factorization of 9680


2 9680
2 4840
2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 9680 are 2,5,11. Prime factorization of 9680 in exponential form is:

9680 = 24×51×112

Prime Factorization of 9688


2 9688
2 4844
2 2422
7 1211
173 173
1

Prime factors of 9688 are 2,7,173. Prime factorization of 9688 in exponential form is:

9688 = 23×71×1731

∴ So by taking common prime factors GCF of 9680 and 9688 is 8

Greatest Common Factor of 9680 and 9688 by matching factors method

Factors of 9680

List of positive integer factors of 9680 that divides 9680 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680

Factors of 9688

List of positive integer factors of 9688 that divides 9688 without a remainder.

1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688

Greatest Common Factor

We found the factors and prime factorization of 9680 and 9688. The biggest common factor number is the GCF number.
So the greatest common factor 9680 and 9688 is 8.

Also check out the Least Common Multiple of 9680 and 9688

Properties of GCF 9680 and 9688

(i) The GCF of 9680 and 9688 is associative

GCF of 9680 and 9688 = GCF of 9688 and 9680

Related Greatest Common Factor of 9680

Related Greatest Common Factor of 9688

Frequently Asked Questions on GCF of 9680 and 9688

1. What is the GCF of 9680 and 9688?

Answer: GCF of 9680 and 9688 is 8.

2. What are the Factors of 9680?

Answer: Factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680. There are 30 integers that are factors of 9680. The greatest factor of 9680 is 9680.

3. What are the Factors of 9688?

Answer: Factors of 9688 are 1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688. There are 16 integers that are factors of 9688. The greatest factor of 9688 is 9688.

4. How to Find the GCF of 9680 and 9688?

Answer:

Greatest Common Factor of 9680 and 9688 = 8

Step 1: Find the prime factorization of 9680

9680 = 2 x 2 x 2 x 2 x 5 x 11 x 11

Step 2: Find the prime factorization of 9688

9688 = 2 x 2 x 2 x 7 x 173

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9680 and 9688 is 8