Greatest Common Factor of 9738 and 9746

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 9738, 9746 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9738 and 9746 is 2.

GCF(9738,9746) = 2

GCF of 9738 and 9746

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

GCF of:
and

Greatest Common Factor of 9738 and 9746

GCF of 9738 and 9746 is 2

Prime Factorization of 9738


2 9738
3 4869
3 1623
541 541
1

Prime factors of 9738 are 2,3,541. Prime factorization of 9738 in exponential form is:

9738 = 21×32×5411

Prime Factorization of 9746


2 9746
11 4873
443 443
1

Prime factors of 9746 are 2,11,443. Prime factorization of 9746 in exponential form is:

9746 = 21×111×4431

∴ So by taking common prime factors GCF of 9738 and 9746 is 2

Greatest Common Factor of 9738 and 9746 by matching factors method

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Factors of 9746

List of positive integer factors of 9746 that divides 9746 without a remainder.

1,2,11,22,443,886,4873,9746

Greatest Common Factor

We found the factors and prime factorization of 9738 and 9746. The biggest common factor number is the GCF number.
So the greatest common factor 9738 and 9746 is 2.

Also check out the Least Common Multiple of 9738 and 9746

Properties of GCF 9738 and 9746

(i) The GCF of 9738 and 9746 is associative

GCF of 9738 and 9746 = GCF of 9746 and 9738

Related Greatest Common Factor of 9738

Related Greatest Common Factor of 9746

Frequently Asked Questions on GCF of 9738 and 9746

1. What is the GCF of 9738 and 9746?

Answer: GCF of 9738 and 9746 is 2.

2. What are the Factors of 9738?

Answer: Factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738. There are 12 integers that are factors of 9738. The greatest factor of 9738 is 9738.

3. What are the Factors of 9746?

Answer: Factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746. There are 8 integers that are factors of 9746. The greatest factor of 9746 is 9746.

4. How to Find the GCF of 9738 and 9746?

Answer:

Greatest Common Factor of 9738 and 9746 = 2

Step 1: Find the prime factorization of 9738

9738 = 2 x 3 x 3 x 541

Step 2: Find the prime factorization of 9746

9746 = 2 x 11 x 443

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 9738 and 9746 is 2