Greatest Common Factor of 9702 and 9709

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, 9709 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9702 and 9709 is 7.

GCF(9702,9709) = 7

GCF of 9702 and 9709

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

GCF of:
and

Greatest Common Factor of 9702 and 9709

GCF of 9702 and 9709 is 7

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 9709


7 9709
19 1387
73 73
1

Prime factors of 9709 are 7,19,73. Prime factorization of 9709 in exponential form is:

9709 = 71×191×731

∴ So by taking common prime factors GCF of 9702 and 9709 is 7

Greatest Common Factor of 9702 and 9709 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 9709

List of positive integer factors of 9709 that divides 9709 without a remainder.

1,7,19,73,133,511,1387,9709

Greatest Common Factor

We found the factors and prime factorization of 9702 and 9709. The biggest common factor number is the GCF number.
So the greatest common factor 9702 and 9709 is 7.

Also check out the Least Common Multiple of 9702 and 9709

Properties of GCF 9702 and 9709

(i) The GCF of 9702 and 9709 is associative

GCF of 9702 and 9709 = GCF of 9709 and 9702

Related Greatest Common Factor of 9702

Related Greatest Common Factor of 9709

Frequently Asked Questions on GCF of 9702 and 9709

1. What is the GCF of 9702 and 9709?

Answer: GCF of 9702 and 9709 is 7.

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 9709?

Answer: Factors of 9709 are 1, 7, 19, 73, 133, 511, 1387, 9709. There are 8 integers that are factors of 9709. The greatest factor of 9709 is 9709.

4. How to Find the GCF of 9702 and 9709?

Answer:

Greatest Common Factor of 9702 and 9709 = 7

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 9709

9709 = 7 x 19 x 73

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9702 and 9709 is 7