Greatest Common Factor of 9764 and 9772

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 9764, 9772 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9764 and 9772 is 4.

GCF(9764,9772) = 4

GCF of 9764 and 9772

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

GCF of:
and

Greatest Common Factor of 9764 and 9772

GCF of 9764 and 9772 is 4

Prime Factorization of 9764


2 9764
2 4882
2441 2441
1

Prime factors of 9764 are 2,2441. Prime factorization of 9764 in exponential form is:

9764 = 22×24411

Prime Factorization of 9772


2 9772
2 4886
7 2443
349 349
1

Prime factors of 9772 are 2,7,349. Prime factorization of 9772 in exponential form is:

9772 = 22×71×3491

∴ So by taking common prime factors GCF of 9764 and 9772 is 4

Greatest Common Factor of 9764 and 9772 by matching factors method

Factors of 9764

List of positive integer factors of 9764 that divides 9764 without a remainder.

1,2,4,2441,4882,9764

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Greatest Common Factor

We found the factors and prime factorization of 9764 and 9772. The biggest common factor number is the GCF number.
So the greatest common factor 9764 and 9772 is 4.

Also check out the Least Common Multiple of 9764 and 9772

Properties of GCF 9764 and 9772

(i) The GCF of 9764 and 9772 is associative

GCF of 9764 and 9772 = GCF of 9772 and 9764

Related Greatest Common Factor of 9764

Related Greatest Common Factor of 9772

Frequently Asked Questions on GCF of 9764 and 9772

1. What is the GCF of 9764 and 9772?

Answer: GCF of 9764 and 9772 is 4.

2. What are the Factors of 9764?

Answer: Factors of 9764 are 1, 2, 4, 2441, 4882, 9764. There are 6 integers that are factors of 9764. The greatest factor of 9764 is 9764.

3. What are the Factors of 9772?

Answer: Factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772. There are 12 integers that are factors of 9772. The greatest factor of 9772 is 9772.

4. How to Find the GCF of 9764 and 9772?

Answer:

Greatest Common Factor of 9764 and 9772 = 4

Step 1: Find the prime factorization of 9764

9764 = 2 x 2 x 2441

Step 2: Find the prime factorization of 9772

9772 = 2 x 2 x 7 x 349

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 9764 and 9772 is 4