Greatest Common Factor of 9745 and 9750

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 9745, 9750 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9745 and 9750 is 5.

GCF(9745,9750) = 5

GCF of 9745 and 9750

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

GCF of:
and

Greatest Common Factor of 9745 and 9750

GCF of 9745 and 9750 is 5

Prime Factorization of 9745


5 9745
1949 1949
1

Prime factors of 9745 are 5,1949. Prime factorization of 9745 in exponential form is:

9745 = 51×19491

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

∴ So by taking common prime factors GCF of 9745 and 9750 is 5

Greatest Common Factor of 9745 and 9750 by matching factors method

Factors of 9745

List of positive integer factors of 9745 that divides 9745 without a remainder.

1,5,1949,9745

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

Greatest Common Factor

We found the factors and prime factorization of 9745 and 9750. The biggest common factor number is the GCF number.
So the greatest common factor 9745 and 9750 is 5.

Also check out the Least Common Multiple of 9745 and 9750

Properties of GCF 9745 and 9750

(i) The GCF of 9745 and 9750 is associative

GCF of 9745 and 9750 = GCF of 9750 and 9745

Related Greatest Common Factor of 9745

Related Greatest Common Factor of 9750

Frequently Asked Questions on GCF of 9745 and 9750

1. What is the GCF of 9745 and 9750?

Answer: GCF of 9745 and 9750 is 5.

2. What are the Factors of 9745?

Answer: Factors of 9745 are 1, 5, 1949, 9745. There are 4 integers that are factors of 9745. The greatest factor of 9745 is 9745.

3. 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.

4. How to Find the GCF of 9745 and 9750?

Answer:

Greatest Common Factor of 9745 and 9750 = 5

Step 1: Find the prime factorization of 9745

9745 = 5 x 1949

Step 2: Find the prime factorization of 9750

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

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 9745 and 9750 is 5