Greatest Common Factor of 9700 and 9705

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, 9705 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9700 and 9705 is 5.

GCF(9700,9705) = 5

GCF of 9700 and 9705

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

GCF of:
and

Greatest Common Factor of 9700 and 9705

GCF of 9700 and 9705 is 5

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 9705


3 9705
5 3235
647 647
1

Prime factors of 9705 are 3,5,647. Prime factorization of 9705 in exponential form is:

9705 = 31×51×6471

∴ So by taking common prime factors GCF of 9700 and 9705 is 5

Greatest Common Factor of 9700 and 9705 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 9705

List of positive integer factors of 9705 that divides 9705 without a remainder.

1,3,5,15,647,1941,3235,9705

Greatest Common Factor

We found the factors and prime factorization of 9700 and 9705. The biggest common factor number is the GCF number.
So the greatest common factor 9700 and 9705 is 5.

Also check out the Least Common Multiple of 9700 and 9705

Properties of GCF 9700 and 9705

(i) The GCF of 9700 and 9705 is associative

GCF of 9700 and 9705 = GCF of 9705 and 9700

Related Greatest Common Factor of 9700

Related Greatest Common Factor of 9705

Frequently Asked Questions on GCF of 9700 and 9705

1. What is the GCF of 9700 and 9705?

Answer: GCF of 9700 and 9705 is 5.

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 9705?

Answer: Factors of 9705 are 1, 3, 5, 15, 647, 1941, 3235, 9705. There are 8 integers that are factors of 9705. The greatest factor of 9705 is 9705.

4. How to Find the GCF of 9700 and 9705?

Answer:

Greatest Common Factor of 9700 and 9705 = 5

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 9705

9705 = 3 x 5 x 647

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9700 and 9705 is 5