Greatest Common Factor of 9702 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 9702, 9704 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9702 and 9704 is 2.

GCF(9702,9704) = 2

GCF of 9702 and 9704

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

GCF of:
and

Greatest Common Factor of 9702 and 9704

GCF of 9702 and 9704 is 2

Prime Factorization of 9702


2 9702
3 4851
3 1617
7 539
7 77
11 11
1

Prime factors of 9702 are 2,3,7,11. Prime factorization of 9702 in exponential form is:

9702 = 21×32×72×111

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 9702 and 9704 is 2

Greatest Common Factor of 9702 and 9704 by matching factors method

Factors of 9702

List of positive integer factors of 9702 that divides 9702 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702

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 9702 and 9704. The biggest common factor number is the GCF number.
So the greatest common factor 9702 and 9704 is 2.

Also check out the Least Common Multiple of 9702 and 9704

Properties of GCF 9702 and 9704

(i) The GCF of 9702 and 9704 is associative

GCF of 9702 and 9704 = GCF of 9704 and 9702

Related Greatest Common Factor of 9702

Related Greatest Common Factor of 9704

Frequently Asked Questions on GCF of 9702 and 9704

1. What is the GCF of 9702 and 9704?

Answer: GCF of 9702 and 9704 is 2.

2. What are the Factors of 9702?

Answer: Factors of 9702 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702. There are 36 integers that are factors of 9702. The greatest factor of 9702 is 9702.

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 9702 and 9704?

Answer:

Greatest Common Factor of 9702 and 9704 = 2

Step 1: Find the prime factorization of 9702

9702 = 2 x 3 x 3 x 7 x 7 x 11

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 9702 and 9704 is 2