Greatest Common Factor of 9710 and 9718

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 9710, 9718 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9710 and 9718 is 2.

GCF(9710,9718) = 2

GCF of 9710 and 9718

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

GCF of:
and

Greatest Common Factor of 9710 and 9718

GCF of 9710 and 9718 is 2

Prime Factorization of 9710


2 9710
5 4855
971 971
1

Prime factors of 9710 are 2,5,971. Prime factorization of 9710 in exponential form is:

9710 = 21×51×9711

Prime Factorization of 9718


2 9718
43 4859
113 113
1

Prime factors of 9718 are 2,43,113. Prime factorization of 9718 in exponential form is:

9718 = 21×431×1131

∴ So by taking common prime factors GCF of 9710 and 9718 is 2

Greatest Common Factor of 9710 and 9718 by matching factors method

Factors of 9710

List of positive integer factors of 9710 that divides 9710 without a remainder.

1,2,5,10,971,1942,4855,9710

Factors of 9718

List of positive integer factors of 9718 that divides 9718 without a remainder.

1,2,43,86,113,226,4859,9718

Greatest Common Factor

We found the factors and prime factorization of 9710 and 9718. The biggest common factor number is the GCF number.
So the greatest common factor 9710 and 9718 is 2.

Also check out the Least Common Multiple of 9710 and 9718

Properties of GCF 9710 and 9718

(i) The GCF of 9710 and 9718 is associative

GCF of 9710 and 9718 = GCF of 9718 and 9710

Related Greatest Common Factor of 9710

Related Greatest Common Factor of 9718

Frequently Asked Questions on GCF of 9710 and 9718

1. What is the GCF of 9710 and 9718?

Answer: GCF of 9710 and 9718 is 2.

2. What are the Factors of 9710?

Answer: Factors of 9710 are 1, 2, 5, 10, 971, 1942, 4855, 9710. There are 8 integers that are factors of 9710. The greatest factor of 9710 is 9710.

3. What are the Factors of 9718?

Answer: Factors of 9718 are 1, 2, 43, 86, 113, 226, 4859, 9718. There are 8 integers that are factors of 9718. The greatest factor of 9718 is 9718.

4. How to Find the GCF of 9710 and 9718?

Answer:

Greatest Common Factor of 9710 and 9718 = 2

Step 1: Find the prime factorization of 9710

9710 = 2 x 5 x 971

Step 2: Find the prime factorization of 9718

9718 = 2 x 43 x 113

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 9710 and 9718 is 2