Greatest Common Factor of 9722 and 9726

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 9722, 9726 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9722 and 9726 is 2.

GCF(9722,9726) = 2

GCF of 9722 and 9726

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

GCF of:
and

Greatest Common Factor of 9722 and 9726

GCF of 9722 and 9726 is 2

Prime Factorization of 9722


2 9722
4861 4861
1

Prime factors of 9722 are 2,4861. Prime factorization of 9722 in exponential form is:

9722 = 21×48611

Prime Factorization of 9726


2 9726
3 4863
1621 1621
1

Prime factors of 9726 are 2,3,1621. Prime factorization of 9726 in exponential form is:

9726 = 21×31×16211

∴ So by taking common prime factors GCF of 9722 and 9726 is 2

Greatest Common Factor of 9722 and 9726 by matching factors method

Factors of 9722

List of positive integer factors of 9722 that divides 9722 without a remainder.

1,2,4861,9722

Factors of 9726

List of positive integer factors of 9726 that divides 9726 without a remainder.

1,2,3,6,1621,3242,4863,9726

Greatest Common Factor

We found the factors and prime factorization of 9722 and 9726. The biggest common factor number is the GCF number.
So the greatest common factor 9722 and 9726 is 2.

Also check out the Least Common Multiple of 9722 and 9726

Properties of GCF 9722 and 9726

(i) The GCF of 9722 and 9726 is associative

GCF of 9722 and 9726 = GCF of 9726 and 9722

Related Greatest Common Factor of 9722

Related Greatest Common Factor of 9726

Frequently Asked Questions on GCF of 9722 and 9726

1. What is the GCF of 9722 and 9726?

Answer: GCF of 9722 and 9726 is 2.

2. What are the Factors of 9722?

Answer: Factors of 9722 are 1, 2, 4861, 9722. There are 4 integers that are factors of 9722. The greatest factor of 9722 is 9722.

3. What are the Factors of 9726?

Answer: Factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726. There are 8 integers that are factors of 9726. The greatest factor of 9726 is 9726.

4. How to Find the GCF of 9722 and 9726?

Answer:

Greatest Common Factor of 9722 and 9726 = 2

Step 1: Find the prime factorization of 9722

9722 = 2 x 4861

Step 2: Find the prime factorization of 9726

9726 = 2 x 3 x 1621

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 9722 and 9726 is 2