Greatest Common Factor of 9711 and 9716

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 9711, 9716 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9711 and 9716 is 1.

GCF(9711,9716) = 1

GCF of 9711 and 9716

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

GCF of:
and

Greatest Common Factor of 9711 and 9716

GCF of 9711 and 9716 is 1

Prime Factorization of 9711


3 9711
3 3237
13 1079
83 83
1

Prime factors of 9711 are 3,13,83. Prime factorization of 9711 in exponential form is:

9711 = 32×131×831

Prime Factorization of 9716


2 9716
2 4858
7 2429
347 347
1

Prime factors of 9716 are 2,7,347. Prime factorization of 9716 in exponential form is:

9716 = 22×71×3471

∴ So by taking common prime factors GCF of 9711 and 9716 is 1

Greatest Common Factor of 9711 and 9716 by matching factors method

Factors of 9711

List of positive integer factors of 9711 that divides 9711 without a remainder.

1,3,9,13,39,83,117,249,747,1079,3237,9711

Factors of 9716

List of positive integer factors of 9716 that divides 9716 without a remainder.

1,2,4,7,14,28,347,694,1388,2429,4858,9716

Greatest Common Factor

We found the factors and prime factorization of 9711 and 9716. The biggest common factor number is the GCF number.
So the greatest common factor 9711 and 9716 is 1.

Also check out the Least Common Multiple of 9711 and 9716

Properties of GCF 9711 and 9716

(i) The GCF of 9711 and 9716 is associative

GCF of 9711 and 9716 = GCF of 9716 and 9711

Related Greatest Common Factor of 9711

Related Greatest Common Factor of 9716

Frequently Asked Questions on GCF of 9711 and 9716

1. What is the GCF of 9711 and 9716?

Answer: GCF of 9711 and 9716 is 1.

2. What are the Factors of 9711?

Answer: Factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711. There are 12 integers that are factors of 9711. The greatest factor of 9711 is 9711.

3. What are the Factors of 9716?

Answer: Factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716. There are 12 integers that are factors of 9716. The greatest factor of 9716 is 9716.

4. How to Find the GCF of 9711 and 9716?

Answer:

Greatest Common Factor of 9711 and 9716 = 1

Step 1: Find the prime factorization of 9711

9711 = 3 x 3 x 13 x 83

Step 2: Find the prime factorization of 9716

9716 = 2 x 2 x 7 x 347

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 9711 and 9716 is 1