Greatest Common Factor of 9702 and 9703

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, 9703 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9702 and 9703 is 1.

GCF(9702,9703) = 1

GCF of 9702 and 9703

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

GCF of:
and

Greatest Common Factor of 9702 and 9703

GCF of 9702 and 9703 is 1

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 9703


31 9703
313 313
1

Prime factors of 9703 are 31,313. Prime factorization of 9703 in exponential form is:

9703 = 311×3131

∴ So by taking common prime factors GCF of 9702 and 9703 is 1

Greatest Common Factor of 9702 and 9703 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 9703

List of positive integer factors of 9703 that divides 9703 without a remainder.

1,31,313,9703

Greatest Common Factor

We found the factors and prime factorization of 9702 and 9703. The biggest common factor number is the GCF number.
So the greatest common factor 9702 and 9703 is 1.

Also check out the Least Common Multiple of 9702 and 9703

Properties of GCF 9702 and 9703

(i) The GCF of 9702 and 9703 is associative

GCF of 9702 and 9703 = GCF of 9703 and 9702

Related Greatest Common Factor of 9702

Related Greatest Common Factor of 9703

Frequently Asked Questions on GCF of 9702 and 9703

1. What is the GCF of 9702 and 9703?

Answer: GCF of 9702 and 9703 is 1.

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 9703?

Answer: Factors of 9703 are 1, 31, 313, 9703. There are 4 integers that are factors of 9703. The greatest factor of 9703 is 9703.

4. How to Find the GCF of 9702 and 9703?

Answer:

Greatest Common Factor of 9702 and 9703 = 1

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 9703

9703 = 31 x 313

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9702 and 9703 is 1