Greatest Common Factor of 9708 and 9712

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 9708, 9712 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9708 and 9712 is 4.

GCF(9708,9712) = 4

GCF of 9708 and 9712

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

GCF of:
and

Greatest Common Factor of 9708 and 9712

GCF of 9708 and 9712 is 4

Prime Factorization of 9708


2 9708
2 4854
3 2427
809 809
1

Prime factors of 9708 are 2,3,809. Prime factorization of 9708 in exponential form is:

9708 = 22×31×8091

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

∴ So by taking common prime factors GCF of 9708 and 9712 is 4

Greatest Common Factor of 9708 and 9712 by matching factors method

Factors of 9708

List of positive integer factors of 9708 that divides 9708 without a remainder.

1,2,3,4,6,12,809,1618,2427,3236,4854,9708

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

Greatest Common Factor

We found the factors and prime factorization of 9708 and 9712. The biggest common factor number is the GCF number.
So the greatest common factor 9708 and 9712 is 4.

Also check out the Least Common Multiple of 9708 and 9712

Properties of GCF 9708 and 9712

(i) The GCF of 9708 and 9712 is associative

GCF of 9708 and 9712 = GCF of 9712 and 9708

Related Greatest Common Factor of 9708

Related Greatest Common Factor of 9712

Frequently Asked Questions on GCF of 9708 and 9712

1. What is the GCF of 9708 and 9712?

Answer: GCF of 9708 and 9712 is 4.

2. What are the Factors of 9708?

Answer: Factors of 9708 are 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708. There are 12 integers that are factors of 9708. The greatest factor of 9708 is 9708.

3. 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.

4. How to Find the GCF of 9708 and 9712?

Answer:

Greatest Common Factor of 9708 and 9712 = 4

Step 1: Find the prime factorization of 9708

9708 = 2 x 2 x 3 x 809

Step 2: Find the prime factorization of 9712

9712 = 2 x 2 x 2 x 2 x 607

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 9708 and 9712 is 4