Greatest Common Factor of 9750 and 9757

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, 9757 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9750 and 9757 is 1.

GCF(9750,9757) = 1

GCF of 9750 and 9757

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

GCF of:
and

Greatest Common Factor of 9750 and 9757

GCF of 9750 and 9757 is 1

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 9757


11 9757
887 887
1

Prime factors of 9757 are 11,887. Prime factorization of 9757 in exponential form is:

9757 = 111×8871

∴ So by taking common prime factors GCF of 9750 and 9757 is 1

Greatest Common Factor of 9750 and 9757 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 9757

List of positive integer factors of 9757 that divides 9757 without a remainder.

1,11,887,9757

Greatest Common Factor

We found the factors and prime factorization of 9750 and 9757. The biggest common factor number is the GCF number.
So the greatest common factor 9750 and 9757 is 1.

Also check out the Least Common Multiple of 9750 and 9757

Properties of GCF 9750 and 9757

(i) The GCF of 9750 and 9757 is associative

GCF of 9750 and 9757 = GCF of 9757 and 9750

Related Greatest Common Factor of 9750

Related Greatest Common Factor of 9757

Frequently Asked Questions on GCF of 9750 and 9757

1. What is the GCF of 9750 and 9757?

Answer: GCF of 9750 and 9757 is 1.

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 9757?

Answer: Factors of 9757 are 1, 11, 887, 9757. There are 4 integers that are factors of 9757. The greatest factor of 9757 is 9757.

4. How to Find the GCF of 9750 and 9757?

Answer:

Greatest Common Factor of 9750 and 9757 = 1

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 9757

9757 = 11 x 887

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9750 and 9757 is 1