Greatest Common Factor of 9734 and 9740

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, 9740 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9734 and 9740 is 2.

GCF(9734,9740) = 2

GCF of 9734 and 9740

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

GCF of:
and

Greatest Common Factor of 9734 and 9740

GCF of 9734 and 9740 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 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

∴ So by taking common prime factors GCF of 9734 and 9740 is 2

Greatest Common Factor of 9734 and 9740 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 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

Greatest Common Factor

We found the factors and prime factorization of 9734 and 9740. The biggest common factor number is the GCF number.
So the greatest common factor 9734 and 9740 is 2.

Also check out the Least Common Multiple of 9734 and 9740

Properties of GCF 9734 and 9740

(i) The GCF of 9734 and 9740 is associative

GCF of 9734 and 9740 = GCF of 9740 and 9734

Related Greatest Common Factor of 9734

Related Greatest Common Factor of 9740

Frequently Asked Questions on GCF of 9734 and 9740

1. What is the GCF of 9734 and 9740?

Answer: GCF of 9734 and 9740 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 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.

4. How to Find the GCF of 9734 and 9740?

Answer:

Greatest Common Factor of 9734 and 9740 = 2

Step 1: Find the prime factorization of 9734

9734 = 2 x 31 x 157

Step 2: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

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 9740 is 2