Greatest Common Factor of 9740 and 9744

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, 9744 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9740 and 9744 is 4.

GCF(9740,9744) = 4

GCF of 9740 and 9744

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

GCF of:
and

Greatest Common Factor of 9740 and 9744

GCF of 9740 and 9744 is 4

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 9744


2 9744
2 4872
2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 9744 are 2,3,7,29. Prime factorization of 9744 in exponential form is:

9744 = 24×31×71×291

∴ So by taking common prime factors GCF of 9740 and 9744 is 4

Greatest Common Factor of 9740 and 9744 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 9744

List of positive integer factors of 9744 that divides 9744 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744

Greatest Common Factor

We found the factors and prime factorization of 9740 and 9744. The biggest common factor number is the GCF number.
So the greatest common factor 9740 and 9744 is 4.

Also check out the Least Common Multiple of 9740 and 9744

Properties of GCF 9740 and 9744

(i) The GCF of 9740 and 9744 is associative

GCF of 9740 and 9744 = GCF of 9744 and 9740

Related Greatest Common Factor of 9740

Related Greatest Common Factor of 9744

Frequently Asked Questions on GCF of 9740 and 9744

1. What is the GCF of 9740 and 9744?

Answer: GCF of 9740 and 9744 is 4.

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 9744?

Answer: Factors of 9744 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744. There are 40 integers that are factors of 9744. The greatest factor of 9744 is 9744.

4. How to Find the GCF of 9740 and 9744?

Answer:

Greatest Common Factor of 9740 and 9744 = 4

Step 1: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

Step 2: Find the prime factorization of 9744

9744 = 2 x 2 x 2 x 2 x 3 x 7 x 29

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 9740 and 9744 is 4