Greatest Common Factor of 9684 and 9689

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 9684, 9689 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9684 and 9689 is 1.

GCF(9684,9689) = 1

GCF of 9684 and 9689

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

GCF of:
and

Greatest Common Factor of 9684 and 9689

GCF of 9684 and 9689 is 1

Prime Factorization of 9684


2 9684
2 4842
3 2421
3 807
269 269
1

Prime factors of 9684 are 2,3,269. Prime factorization of 9684 in exponential form is:

9684 = 22×32×2691

Prime Factorization of 9689


9689 9689
1

Prime factors of 9689 are 9689. Prime factorization of 9689 in exponential form is:

9689 = 96891

∴ So by taking common prime factors GCF of 9684 and 9689 is 1

Greatest Common Factor of 9684 and 9689 by matching factors method

Factors of 9684

List of positive integer factors of 9684 that divides 9684 without a remainder.

1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684

Factors of 9689

List of positive integer factors of 9689 that divides 9689 without a remainder.

1,9689

Greatest Common Factor

We found the factors and prime factorization of 9684 and 9689. The biggest common factor number is the GCF number.
So the greatest common factor 9684 and 9689 is 1.

Also check out the Least Common Multiple of 9684 and 9689

Properties of GCF 9684 and 9689

(i) The GCF of 9684 and 9689 is associative

GCF of 9684 and 9689 = GCF of 9689 and 9684

Frequently Asked Questions on GCF of 9684 and 9689

1. What is the GCF of 9684 and 9689?

Answer: GCF of 9684 and 9689 is 1.

2. What are the Factors of 9684?

Answer: Factors of 9684 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684. There are 18 integers that are factors of 9684. The greatest factor of 9684 is 9684.

3. What are the Factors of 9689?

Answer: Factors of 9689 are 1, 9689. There are 2 integers that are factors of 9689. The greatest factor of 9689 is 9689.

4. How to Find the GCF of 9684 and 9689?

Answer:

Greatest Common Factor of 9684 and 9689 = 1

Step 1: Find the prime factorization of 9684

9684 = 2 x 2 x 3 x 3 x 269

Step 2: Find the prime factorization of 9689

9689 = 9689

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9684 and 9689 is 1