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, 9754 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9750 and 9754 is 2.
GCF(9750,9754) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 9754
2 | 9754 |
4877 | 4877 |
1 |
Prime factors of 9754 are 2,4877. Prime factorization of 9754 in exponential form is:
9754 = 21×48771
∴ So by taking common prime factors GCF of 9750 and 9754 is 2
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 9754
List of positive integer factors of 9754 that divides 9754 without a remainder.
1,2,4877,9754
Greatest Common Factor
We found the factors and prime factorization of 9750 and 9754. The biggest common factor number is the GCF number.
So the greatest common factor 9750 and 9754 is 2.
Also check out the Least Common Multiple of 9750 and 9754
(i) The GCF of 9750 and 9754 is associative
GCF of 9750 and 9754 = GCF of 9754 and 9750
1. What is the GCF of 9750 and 9754?
Answer: GCF of 9750 and 9754 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 9754?
Answer: Factors of 9754 are 1, 2, 4877, 9754. There are 4 integers that are factors of 9754. The greatest factor of 9754 is 9754.
4. How to Find the GCF of 9750 and 9754?
Answer:
Greatest Common Factor of 9750 and 9754 = 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 9754
9754 = 2 x 4877
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 9754 is 2