Greatest Common Factor of 9712 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 9712, 9716 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9712 and 9716 is 4.

GCF(9712,9716) = 4

GCF of 9712 and 9716

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

GCF of:
and

Greatest Common Factor of 9712 and 9716

GCF of 9712 and 9716 is 4

Prime Factorization of 9712


2 9712
2 4856
2 2428
2 1214
607 607
1

Prime factors of 9712 are 2,607. Prime factorization of 9712 in exponential form is:

9712 = 24×6071

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 9712 and 9716 is 4

Greatest Common Factor of 9712 and 9716 by matching factors method

Factors of 9712

List of positive integer factors of 9712 that divides 9712 without a remainder.

1,2,4,8,16,607,1214,2428,4856,9712

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 9712 and 9716. The biggest common factor number is the GCF number.
So the greatest common factor 9712 and 9716 is 4.

Also check out the Least Common Multiple of 9712 and 9716

Properties of GCF 9712 and 9716

(i) The GCF of 9712 and 9716 is associative

GCF of 9712 and 9716 = GCF of 9716 and 9712

Related Greatest Common Factor of 9712

Related Greatest Common Factor of 9716

Frequently Asked Questions on GCF of 9712 and 9716

1. What is the GCF of 9712 and 9716?

Answer: GCF of 9712 and 9716 is 4.

2. What are the Factors of 9712?

Answer: Factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712. There are 10 integers that are factors of 9712. The greatest factor of 9712 is 9712.

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 9712 and 9716?

Answer:

Greatest Common Factor of 9712 and 9716 = 4

Step 1: Find the prime factorization of 9712

9712 = 2 x 2 x 2 x 2 x 607

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9712 and 9716 is 4