Greatest Common Factor of 9740 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 9740, 9742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9740 and 9742 is 2.

GCF(9740,9742) = 2

GCF of 9740 and 9742

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

GCF of:
and

Greatest Common Factor of 9740 and 9742

GCF of 9740 and 9742 is 2

Prime Factorization of 9740


2 9740
2 4870
5 2435
487 487
1

Prime factors of 9740 are 2,5,487. Prime factorization of 9740 in exponential form is:

9740 = 22×51×4871

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 9740 and 9742 is 2

Greatest Common Factor of 9740 and 9742 by matching factors method

Factors of 9740

List of positive integer factors of 9740 that divides 9740 without a remainder.

1,2,4,5,10,20,487,974,1948,2435,4870,9740

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 9740 and 9742. The biggest common factor number is the GCF number.
So the greatest common factor 9740 and 9742 is 2.

Also check out the Least Common Multiple of 9740 and 9742

Properties of GCF 9740 and 9742

(i) The GCF of 9740 and 9742 is associative

GCF of 9740 and 9742 = GCF of 9742 and 9740

Related Greatest Common Factor of 9740

Related Greatest Common Factor of 9742

Frequently Asked Questions on GCF of 9740 and 9742

1. What is the GCF of 9740 and 9742?

Answer: GCF of 9740 and 9742 is 2.

2. What are the Factors of 9740?

Answer: Factors of 9740 are 1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740. There are 12 integers that are factors of 9740. The greatest factor of 9740 is 9740.

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 9740 and 9742?

Answer:

Greatest Common Factor of 9740 and 9742 = 2

Step 1: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

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 9740 and 9742 is 2