Greatest Common Factor of 9702 and 9710

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, 9710 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9702 and 9710 is 2.

GCF(9702,9710) = 2

GCF of 9702 and 9710

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

GCF of:
and

Greatest Common Factor of 9702 and 9710

GCF of 9702 and 9710 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 9710


2 9710
5 4855
971 971
1

Prime factors of 9710 are 2,5,971. Prime factorization of 9710 in exponential form is:

9710 = 21×51×9711

∴ So by taking common prime factors GCF of 9702 and 9710 is 2

Greatest Common Factor of 9702 and 9710 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 9710

List of positive integer factors of 9710 that divides 9710 without a remainder.

1,2,5,10,971,1942,4855,9710

Greatest Common Factor

We found the factors and prime factorization of 9702 and 9710. The biggest common factor number is the GCF number.
So the greatest common factor 9702 and 9710 is 2.

Also check out the Least Common Multiple of 9702 and 9710

Properties of GCF 9702 and 9710

(i) The GCF of 9702 and 9710 is associative

GCF of 9702 and 9710 = GCF of 9710 and 9702

Related Greatest Common Factor of 9702

Related Greatest Common Factor of 9710

Frequently Asked Questions on GCF of 9702 and 9710

1. What is the GCF of 9702 and 9710?

Answer: GCF of 9702 and 9710 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 9710?

Answer: Factors of 9710 are 1, 2, 5, 10, 971, 1942, 4855, 9710. There are 8 integers that are factors of 9710. The greatest factor of 9710 is 9710.

4. How to Find the GCF of 9702 and 9710?

Answer:

Greatest Common Factor of 9702 and 9710 = 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 9710

9710 = 2 x 5 x 971

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 9710 is 2