Greatest Common Factor of 9681 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 9681, 9688 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9681 and 9688 is 7.

GCF(9681,9688) = 7

GCF of 9681 and 9688

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

GCF of:
and

Greatest Common Factor of 9681 and 9688

GCF of 9681 and 9688 is 7

Prime Factorization of 9681


3 9681
7 3227
461 461
1

Prime factors of 9681 are 3,7,461. Prime factorization of 9681 in exponential form is:

9681 = 31×71×4611

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 9681 and 9688 is 7

Greatest Common Factor of 9681 and 9688 by matching factors method

Factors of 9681

List of positive integer factors of 9681 that divides 9681 without a remainder.

1,3,7,21,461,1383,3227,9681

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 9681 and 9688. The biggest common factor number is the GCF number.
So the greatest common factor 9681 and 9688 is 7.

Also check out the Least Common Multiple of 9681 and 9688

Properties of GCF 9681 and 9688

(i) The GCF of 9681 and 9688 is associative

GCF of 9681 and 9688 = GCF of 9688 and 9681

Related Greatest Common Factor of 9681

Related Greatest Common Factor of 9688

Frequently Asked Questions on GCF of 9681 and 9688

1. What is the GCF of 9681 and 9688?

Answer: GCF of 9681 and 9688 is 7.

2. What are the Factors of 9681?

Answer: Factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681. There are 8 integers that are factors of 9681. The greatest factor of 9681 is 9681.

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 9681 and 9688?

Answer:

Greatest Common Factor of 9681 and 9688 = 7

Step 1: Find the prime factorization of 9681

9681 = 3 x 7 x 461

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 = 7

Step 4: Therefore, the greatest common factor of 9681 and 9688 is 7