Greatest Common Factor of 9700 and 9702

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 9700, 9702 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9700 and 9702 is 2.

GCF(9700,9702) = 2

GCF of 9700 and 9702

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

GCF of:
and

Greatest Common Factor of 9700 and 9702

GCF of 9700 and 9702 is 2

Prime Factorization of 9700


2 9700
2 4850
5 2425
5 485
97 97
1

Prime factors of 9700 are 2,5,97. Prime factorization of 9700 in exponential form is:

9700 = 22×52×971

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

∴ So by taking common prime factors GCF of 9700 and 9702 is 2

Greatest Common Factor of 9700 and 9702 by matching factors method

Factors of 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700

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

Greatest Common Factor

We found the factors and prime factorization of 9700 and 9702. The biggest common factor number is the GCF number.
So the greatest common factor 9700 and 9702 is 2.

Also check out the Least Common Multiple of 9700 and 9702

Properties of GCF 9700 and 9702

(i) The GCF of 9700 and 9702 is associative

GCF of 9700 and 9702 = GCF of 9702 and 9700

Related Greatest Common Factor of 9700

Related Greatest Common Factor of 9702

Frequently Asked Questions on GCF of 9700 and 9702

1. What is the GCF of 9700 and 9702?

Answer: GCF of 9700 and 9702 is 2.

2. What are the Factors of 9700?

Answer: Factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700. There are 18 integers that are factors of 9700. The greatest factor of 9700 is 9700.

3. 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.

4. How to Find the GCF of 9700 and 9702?

Answer:

Greatest Common Factor of 9700 and 9702 = 2

Step 1: Find the prime factorization of 9700

9700 = 2 x 2 x 5 x 5 x 97

Step 2: Find the prime factorization of 9702

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

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 9700 and 9702 is 2