Greatest Common Factor of 9750 and 9758

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 9750, 9758 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9750 and 9758 is 2.

GCF(9750,9758) = 2

GCF of 9750 and 9758

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

GCF of:
and

Greatest Common Factor of 9750 and 9758

GCF of 9750 and 9758 is 2

Prime Factorization of 9750


2 9750
3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 9750 are 2,3,5,13. Prime factorization of 9750 in exponential form is:

9750 = 21×31×53×131

Prime Factorization of 9758


2 9758
7 4879
17 697
41 41
1

Prime factors of 9758 are 2,7,17,41. Prime factorization of 9758 in exponential form is:

9758 = 21×71×171×411

∴ So by taking common prime factors GCF of 9750 and 9758 is 2

Greatest Common Factor of 9750 and 9758 by matching factors method

Factors of 9750

List of positive integer factors of 9750 that divides 9750 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750

Factors of 9758

List of positive integer factors of 9758 that divides 9758 without a remainder.

1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758

Greatest Common Factor

We found the factors and prime factorization of 9750 and 9758. The biggest common factor number is the GCF number.
So the greatest common factor 9750 and 9758 is 2.

Also check out the Least Common Multiple of 9750 and 9758

Properties of GCF 9750 and 9758

(i) The GCF of 9750 and 9758 is associative

GCF of 9750 and 9758 = GCF of 9758 and 9750

Related Greatest Common Factor of 9750

Related Greatest Common Factor of 9758

Frequently Asked Questions on GCF of 9750 and 9758

1. What is the GCF of 9750 and 9758?

Answer: GCF of 9750 and 9758 is 2.

2. What are the Factors of 9750?

Answer: Factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750. There are 32 integers that are factors of 9750. The greatest factor of 9750 is 9750.

3. What are the Factors of 9758?

Answer: Factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758. There are 16 integers that are factors of 9758. The greatest factor of 9758 is 9758.

4. How to Find the GCF of 9750 and 9758?

Answer:

Greatest Common Factor of 9750 and 9758 = 2

Step 1: Find the prime factorization of 9750

9750 = 2 x 3 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 9758

9758 = 2 x 7 x 17 x 41

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 9750 and 9758 is 2