Greatest Common Factor of 9705 and 9713

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 9705, 9713 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9705 and 9713 is 1.

GCF(9705,9713) = 1

GCF of 9705 and 9713

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

GCF of:
and

Greatest Common Factor of 9705 and 9713

GCF of 9705 and 9713 is 1

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

Prime Factorization of 9713


11 9713
883 883
1

Prime factors of 9713 are 11,883. Prime factorization of 9713 in exponential form is:

9713 = 111×8831

∴ So by taking common prime factors GCF of 9705 and 9713 is 1

Greatest Common Factor of 9705 and 9713 by matching factors method

Factors of 9705

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

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

Factors of 9713

List of positive integer factors of 9713 that divides 9713 without a remainder.

1,11,883,9713

Greatest Common Factor

We found the factors and prime factorization of 9705 and 9713. The biggest common factor number is the GCF number.
So the greatest common factor 9705 and 9713 is 1.

Also check out the Least Common Multiple of 9705 and 9713

Properties of GCF 9705 and 9713

(i) The GCF of 9705 and 9713 is associative

GCF of 9705 and 9713 = GCF of 9713 and 9705

Related Greatest Common Factor of 9705

Related Greatest Common Factor of 9713

Frequently Asked Questions on GCF of 9705 and 9713

1. What is the GCF of 9705 and 9713?

Answer: GCF of 9705 and 9713 is 1.

2. 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.

3. What are the Factors of 9713?

Answer: Factors of 9713 are 1, 11, 883, 9713. There are 4 integers that are factors of 9713. The greatest factor of 9713 is 9713.

4. How to Find the GCF of 9705 and 9713?

Answer:

Greatest Common Factor of 9705 and 9713 = 1

Step 1: Find the prime factorization of 9705

9705 = 3 x 5 x 647

Step 2: Find the prime factorization of 9713

9713 = 11 x 883

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 9705 and 9713 is 1