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 9500, 9501 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9500 and 9501 is 1.
GCF(9500,9501) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9500
2 | 9500 |
2 | 4750 |
5 | 2375 |
5 | 475 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 9500 are 2,5,19. Prime factorization of 9500 in exponential form is:
9500 = 22×53×191
Prime Factorization of 9501
3 | 9501 |
3167 | 3167 |
1 |
Prime factors of 9501 are 3,3167. Prime factorization of 9501 in exponential form is:
9501 = 31×31671
∴ So by taking common prime factors GCF of 9500 and 9501 is 1
Factors of 9500
List of positive integer factors of 9500 that divides 9500 without a remainder.
1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Factors of 9501
List of positive integer factors of 9501 that divides 9501 without a remainder.
1,3,3167,9501
Greatest Common Factor
We found the factors and prime factorization of 9500 and 9501. The biggest common factor number is the GCF number.
So the greatest common factor 9500 and 9501 is 1.
Also check out the Least Common Multiple of 9500 and 9501
(i) The GCF of 9500 and 9501 is associative
GCF of 9500 and 9501 = GCF of 9501 and 9500
1. What is the GCF of 9500 and 9501?
Answer: GCF of 9500 and 9501 is 1.
2. What are the Factors of 9500?
Answer: Factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500. There are 24 integers that are factors of 9500. The greatest factor of 9500 is 9500.
3. What are the Factors of 9501?
Answer: Factors of 9501 are 1, 3, 3167, 9501. There are 4 integers that are factors of 9501. The greatest factor of 9501 is 9501.
4. How to Find the GCF of 9500 and 9501?
Answer:
Greatest Common Factor of 9500 and 9501 = 1
Step 1: Find the prime factorization of 9500
9500 = 2 x 2 x 5 x 5 x 5 x 19
Step 2: Find the prime factorization of 9501
9501 = 3 x 3167
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 9500 and 9501 is 1