Greatest Common Factor of 9707 and 9714

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 9707, 9714 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9707 and 9714 is 1.

GCF(9707,9714) = 1

GCF of 9707 and 9714

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

GCF of:
and

Greatest Common Factor of 9707 and 9714

GCF of 9707 and 9714 is 1

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

Prime Factorization of 9714


2 9714
3 4857
1619 1619
1

Prime factors of 9714 are 2,3,1619. Prime factorization of 9714 in exponential form is:

9714 = 21×31×16191

∴ So by taking common prime factors GCF of 9707 and 9714 is 1

Greatest Common Factor of 9707 and 9714 by matching factors method

Factors of 9707

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

1,17,571,9707

Factors of 9714

List of positive integer factors of 9714 that divides 9714 without a remainder.

1,2,3,6,1619,3238,4857,9714

Greatest Common Factor

We found the factors and prime factorization of 9707 and 9714. The biggest common factor number is the GCF number.
So the greatest common factor 9707 and 9714 is 1.

Also check out the Least Common Multiple of 9707 and 9714

Properties of GCF 9707 and 9714

(i) The GCF of 9707 and 9714 is associative

GCF of 9707 and 9714 = GCF of 9714 and 9707

Related Greatest Common Factor of 9707

Related Greatest Common Factor of 9714

Frequently Asked Questions on GCF of 9707 and 9714

1. What is the GCF of 9707 and 9714?

Answer: GCF of 9707 and 9714 is 1.

2. 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.

3. What are the Factors of 9714?

Answer: Factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714. There are 8 integers that are factors of 9714. The greatest factor of 9714 is 9714.

4. How to Find the GCF of 9707 and 9714?

Answer:

Greatest Common Factor of 9707 and 9714 = 1

Step 1: Find the prime factorization of 9707

9707 = 17 x 571

Step 2: Find the prime factorization of 9714

9714 = 2 x 3 x 1619

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 9707 and 9714 is 1