Greatest Common Factor of 9704 and 9708

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 9704, 9708 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9704 and 9708 is 4.

GCF(9704,9708) = 4

GCF of 9704 and 9708

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

GCF of:
and

Greatest Common Factor of 9704 and 9708

GCF of 9704 and 9708 is 4

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

Prime Factorization of 9708


2 9708
2 4854
3 2427
809 809
1

Prime factors of 9708 are 2,3,809. Prime factorization of 9708 in exponential form is:

9708 = 22×31×8091

∴ So by taking common prime factors GCF of 9704 and 9708 is 4

Greatest Common Factor of 9704 and 9708 by matching factors method

Factors of 9704

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

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

Factors of 9708

List of positive integer factors of 9708 that divides 9708 without a remainder.

1,2,3,4,6,12,809,1618,2427,3236,4854,9708

Greatest Common Factor

We found the factors and prime factorization of 9704 and 9708. The biggest common factor number is the GCF number.
So the greatest common factor 9704 and 9708 is 4.

Also check out the Least Common Multiple of 9704 and 9708

Properties of GCF 9704 and 9708

(i) The GCF of 9704 and 9708 is associative

GCF of 9704 and 9708 = GCF of 9708 and 9704

Related Greatest Common Factor of 9704

Related Greatest Common Factor of 9708

Frequently Asked Questions on GCF of 9704 and 9708

1. What is the GCF of 9704 and 9708?

Answer: GCF of 9704 and 9708 is 4.

2. 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.

3. What are the Factors of 9708?

Answer: Factors of 9708 are 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708. There are 12 integers that are factors of 9708. The greatest factor of 9708 is 9708.

4. How to Find the GCF of 9704 and 9708?

Answer:

Greatest Common Factor of 9704 and 9708 = 4

Step 1: Find the prime factorization of 9704

9704 = 2 x 2 x 2 x 1213

Step 2: Find the prime factorization of 9708

9708 = 2 x 2 x 3 x 809

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9704 and 9708 is 4