Greatest Common Factor of 9750 and 9755

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, 9755 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9750 and 9755 is 5.

GCF(9750,9755) = 5

GCF of 9750 and 9755

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

GCF of:
and

Greatest Common Factor of 9750 and 9755

GCF of 9750 and 9755 is 5

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 9755


5 9755
1951 1951
1

Prime factors of 9755 are 5,1951. Prime factorization of 9755 in exponential form is:

9755 = 51×19511

∴ So by taking common prime factors GCF of 9750 and 9755 is 5

Greatest Common Factor of 9750 and 9755 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 9755

List of positive integer factors of 9755 that divides 9755 without a remainder.

1,5,1951,9755

Greatest Common Factor

We found the factors and prime factorization of 9750 and 9755. The biggest common factor number is the GCF number.
So the greatest common factor 9750 and 9755 is 5.

Also check out the Least Common Multiple of 9750 and 9755

Properties of GCF 9750 and 9755

(i) The GCF of 9750 and 9755 is associative

GCF of 9750 and 9755 = GCF of 9755 and 9750

Related Greatest Common Factor of 9750

Related Greatest Common Factor of 9755

Frequently Asked Questions on GCF of 9750 and 9755

1. What is the GCF of 9750 and 9755?

Answer: GCF of 9750 and 9755 is 5.

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 9755?

Answer: Factors of 9755 are 1, 5, 1951, 9755. There are 4 integers that are factors of 9755. The greatest factor of 9755 is 9755.

4. How to Find the GCF of 9750 and 9755?

Answer:

Greatest Common Factor of 9750 and 9755 = 5

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 9755

9755 = 5 x 1951

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 9750 and 9755 is 5