Greatest Common Factor of 9688 and 9694

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 9688, 9694 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9688 and 9694 is 2.

GCF(9688,9694) = 2

GCF of 9688 and 9694

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

GCF of:
and

Greatest Common Factor of 9688 and 9694

GCF of 9688 and 9694 is 2

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

Prime Factorization of 9694


2 9694
37 4847
131 131
1

Prime factors of 9694 are 2,37,131. Prime factorization of 9694 in exponential form is:

9694 = 21×371×1311

∴ So by taking common prime factors GCF of 9688 and 9694 is 2

Greatest Common Factor of 9688 and 9694 by matching factors method

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

Factors of 9694

List of positive integer factors of 9694 that divides 9694 without a remainder.

1,2,37,74,131,262,4847,9694

Greatest Common Factor

We found the factors and prime factorization of 9688 and 9694. The biggest common factor number is the GCF number.
So the greatest common factor 9688 and 9694 is 2.

Also check out the Least Common Multiple of 9688 and 9694

Properties of GCF 9688 and 9694

(i) The GCF of 9688 and 9694 is associative

GCF of 9688 and 9694 = GCF of 9694 and 9688

Related Greatest Common Factor of 9688

Related Greatest Common Factor of 9694

Frequently Asked Questions on GCF of 9688 and 9694

1. What is the GCF of 9688 and 9694?

Answer: GCF of 9688 and 9694 is 2.

2. 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.

3. What are the Factors of 9694?

Answer: Factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694. There are 8 integers that are factors of 9694. The greatest factor of 9694 is 9694.

4. How to Find the GCF of 9688 and 9694?

Answer:

Greatest Common Factor of 9688 and 9694 = 2

Step 1: Find the prime factorization of 9688

9688 = 2 x 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 9694

9694 = 2 x 37 x 131

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9688 and 9694 is 2