Greatest Common Factor of 9698 and 9704

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 9698, 9704 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9698 and 9704 is 2.

GCF(9698,9704) = 2

GCF of 9698 and 9704

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

GCF of:
and

Greatest Common Factor of 9698 and 9704

GCF of 9698 and 9704 is 2

Prime Factorization of 9698


2 9698
13 4849
373 373
1

Prime factors of 9698 are 2,13,373. Prime factorization of 9698 in exponential form is:

9698 = 21×131×3731

Prime Factorization of 9704


2 9704
2 4852
2 2426
1213 1213
1

Prime factors of 9704 are 2,1213. Prime factorization of 9704 in exponential form is:

9704 = 23×12131

∴ So by taking common prime factors GCF of 9698 and 9704 is 2

Greatest Common Factor of 9698 and 9704 by matching factors method

Factors of 9698

List of positive integer factors of 9698 that divides 9698 without a remainder.

1,2,13,26,373,746,4849,9698

Factors of 9704

List of positive integer factors of 9704 that divides 9704 without a remainder.

1,2,4,8,1213,2426,4852,9704

Greatest Common Factor

We found the factors and prime factorization of 9698 and 9704. The biggest common factor number is the GCF number.
So the greatest common factor 9698 and 9704 is 2.

Also check out the Least Common Multiple of 9698 and 9704

Properties of GCF 9698 and 9704

(i) The GCF of 9698 and 9704 is associative

GCF of 9698 and 9704 = GCF of 9704 and 9698

Related Greatest Common Factor of 9698

Related Greatest Common Factor of 9704

Frequently Asked Questions on GCF of 9698 and 9704

1. What is the GCF of 9698 and 9704?

Answer: GCF of 9698 and 9704 is 2.

2. What are the Factors of 9698?

Answer: Factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698. There are 8 integers that are factors of 9698. The greatest factor of 9698 is 9698.

3. What are the Factors of 9704?

Answer: Factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704. There are 8 integers that are factors of 9704. The greatest factor of 9704 is 9704.

4. How to Find the GCF of 9698 and 9704?

Answer:

Greatest Common Factor of 9698 and 9704 = 2

Step 1: Find the prime factorization of 9698

9698 = 2 x 13 x 373

Step 2: Find the prime factorization of 9704

9704 = 2 x 2 x 2 x 1213

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 9698 and 9704 is 2