Greatest Common Factor of 9680 and 9685

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, 9685 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9680 and 9685 is 5.

GCF(9680,9685) = 5

GCF of 9680 and 9685

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

GCF of:
and

Greatest Common Factor of 9680 and 9685

GCF of 9680 and 9685 is 5

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 9685


5 9685
13 1937
149 149
1

Prime factors of 9685 are 5,13,149. Prime factorization of 9685 in exponential form is:

9685 = 51×131×1491

∴ So by taking common prime factors GCF of 9680 and 9685 is 5

Greatest Common Factor of 9680 and 9685 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 9685

List of positive integer factors of 9685 that divides 9685 without a remainder.

1,5,13,65,149,745,1937,9685

Greatest Common Factor

We found the factors and prime factorization of 9680 and 9685. The biggest common factor number is the GCF number.
So the greatest common factor 9680 and 9685 is 5.

Also check out the Least Common Multiple of 9680 and 9685

Properties of GCF 9680 and 9685

(i) The GCF of 9680 and 9685 is associative

GCF of 9680 and 9685 = GCF of 9685 and 9680

Related Greatest Common Factor of 9680

Related Greatest Common Factor of 9685

Frequently Asked Questions on GCF of 9680 and 9685

1. What is the GCF of 9680 and 9685?

Answer: GCF of 9680 and 9685 is 5.

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 9685?

Answer: Factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685. There are 8 integers that are factors of 9685. The greatest factor of 9685 is 9685.

4. How to Find the GCF of 9680 and 9685?

Answer:

Greatest Common Factor of 9680 and 9685 = 5

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 9685

9685 = 5 x 13 x 149

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 9680 and 9685 is 5