Greatest Common Factor of 9675 and 9680

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 9675, 9680 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9675 and 9680 is 5.

GCF(9675,9680) = 5

GCF of 9675 and 9680

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

GCF of:
and

Greatest Common Factor of 9675 and 9680

GCF of 9675 and 9680 is 5

Prime Factorization of 9675


3 9675
3 3225
5 1075
5 215
43 43
1

Prime factors of 9675 are 3,5,43. Prime factorization of 9675 in exponential form is:

9675 = 32×52×431

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

∴ So by taking common prime factors GCF of 9675 and 9680 is 5

Greatest Common Factor of 9675 and 9680 by matching factors method

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675

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

Greatest Common Factor

We found the factors and prime factorization of 9675 and 9680. The biggest common factor number is the GCF number.
So the greatest common factor 9675 and 9680 is 5.

Also check out the Least Common Multiple of 9675 and 9680

Properties of GCF 9675 and 9680

(i) The GCF of 9675 and 9680 is associative

GCF of 9675 and 9680 = GCF of 9680 and 9675

Related Greatest Common Factor of 9675

Related Greatest Common Factor of 9680

Frequently Asked Questions on GCF of 9675 and 9680

1. What is the GCF of 9675 and 9680?

Answer: GCF of 9675 and 9680 is 5.

2. What are the Factors of 9675?

Answer: Factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675. There are 18 integers that are factors of 9675. The greatest factor of 9675 is 9675.

3. 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.

4. How to Find the GCF of 9675 and 9680?

Answer:

Greatest Common Factor of 9675 and 9680 = 5

Step 1: Find the prime factorization of 9675

9675 = 3 x 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 9680

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

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 9675 and 9680 is 5