Greatest Common Factor of 9702 and 9707

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, 9707 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9702 and 9707 is 1.

GCF(9702,9707) = 1

GCF of 9702 and 9707

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

GCF of:
and

Greatest Common Factor of 9702 and 9707

GCF of 9702 and 9707 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 9707


17 9707
571 571
1

Prime factors of 9707 are 17,571. Prime factorization of 9707 in exponential form is:

9707 = 171×5711

∴ So by taking common prime factors GCF of 9702 and 9707 is 1

Greatest Common Factor of 9702 and 9707 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 9707

List of positive integer factors of 9707 that divides 9707 without a remainder.

1,17,571,9707

Greatest Common Factor

We found the factors and prime factorization of 9702 and 9707. The biggest common factor number is the GCF number.
So the greatest common factor 9702 and 9707 is 1.

Also check out the Least Common Multiple of 9702 and 9707

Properties of GCF 9702 and 9707

(i) The GCF of 9702 and 9707 is associative

GCF of 9702 and 9707 = GCF of 9707 and 9702

Related Greatest Common Factor of 9702

Related Greatest Common Factor of 9707

Frequently Asked Questions on GCF of 9702 and 9707

1. What is the GCF of 9702 and 9707?

Answer: GCF of 9702 and 9707 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 9707?

Answer: Factors of 9707 are 1, 17, 571, 9707. There are 4 integers that are factors of 9707. The greatest factor of 9707 is 9707.

4. How to Find the GCF of 9702 and 9707?

Answer:

Greatest Common Factor of 9702 and 9707 = 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 9707

9707 = 17 x 571

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 9707 is 1