Greatest Common Factor of 9734 and 9742

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 9734, 9742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9734 and 9742 is 2.

GCF(9734,9742) = 2

GCF of 9734 and 9742

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

GCF of:
and

Greatest Common Factor of 9734 and 9742

GCF of 9734 and 9742 is 2

Prime Factorization of 9734


2 9734
31 4867
157 157
1

Prime factors of 9734 are 2,31,157. Prime factorization of 9734 in exponential form is:

9734 = 21×311×1571

Prime Factorization of 9742


2 9742
4871 4871
1

Prime factors of 9742 are 2,4871. Prime factorization of 9742 in exponential form is:

9742 = 21×48711

∴ So by taking common prime factors GCF of 9734 and 9742 is 2

Greatest Common Factor of 9734 and 9742 by matching factors method

Factors of 9734

List of positive integer factors of 9734 that divides 9734 without a remainder.

1,2,31,62,157,314,4867,9734

Factors of 9742

List of positive integer factors of 9742 that divides 9742 without a remainder.

1,2,4871,9742

Greatest Common Factor

We found the factors and prime factorization of 9734 and 9742. The biggest common factor number is the GCF number.
So the greatest common factor 9734 and 9742 is 2.

Also check out the Least Common Multiple of 9734 and 9742

Properties of GCF 9734 and 9742

(i) The GCF of 9734 and 9742 is associative

GCF of 9734 and 9742 = GCF of 9742 and 9734

Related Greatest Common Factor of 9734

Related Greatest Common Factor of 9742

Frequently Asked Questions on GCF of 9734 and 9742

1. What is the GCF of 9734 and 9742?

Answer: GCF of 9734 and 9742 is 2.

2. What are the Factors of 9734?

Answer: Factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734. There are 8 integers that are factors of 9734. The greatest factor of 9734 is 9734.

3. What are the Factors of 9742?

Answer: Factors of 9742 are 1, 2, 4871, 9742. There are 4 integers that are factors of 9742. The greatest factor of 9742 is 9742.

4. How to Find the GCF of 9734 and 9742?

Answer:

Greatest Common Factor of 9734 and 9742 = 2

Step 1: Find the prime factorization of 9734

9734 = 2 x 31 x 157

Step 2: Find the prime factorization of 9742

9742 = 2 x 4871

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 9734 and 9742 is 2