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 9375, 9379 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9375 and 9379 is 1.
GCF(9375,9379) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9375
3 | 9375 |
5 | 3125 |
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 9375 are 3,5. Prime factorization of 9375 in exponential form is:
9375 = 31×55
Prime Factorization of 9379
83 | 9379 |
113 | 113 |
1 |
Prime factors of 9379 are 83,113. Prime factorization of 9379 in exponential form is:
9379 = 831×1131
∴ So by taking common prime factors GCF of 9375 and 9379 is 1
Factors of 9375
List of positive integer factors of 9375 that divides 9375 without a remainder.
1,3,5,15,25,75,125,375,625,1875,3125,9375
Factors of 9379
List of positive integer factors of 9379 that divides 9379 without a remainder.
1,83,113,9379
Greatest Common Factor
We found the factors and prime factorization of 9375 and 9379. The biggest common factor number is the GCF number.
So the greatest common factor 9375 and 9379 is 1.
Also check out the Least Common Multiple of 9375 and 9379
(i) The GCF of 9375 and 9379 is associative
GCF of 9375 and 9379 = GCF of 9379 and 9375
1. What is the GCF of 9375 and 9379?
Answer: GCF of 9375 and 9379 is 1.
2. What are the Factors of 9375?
Answer: Factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375. There are 12 integers that are factors of 9375. The greatest factor of 9375 is 9375.
3. What are the Factors of 9379?
Answer: Factors of 9379 are 1, 83, 113, 9379. There are 4 integers that are factors of 9379. The greatest factor of 9379 is 9379.
4. How to Find the GCF of 9375 and 9379?
Answer:
Greatest Common Factor of 9375 and 9379 = 1
Step 1: Find the prime factorization of 9375
9375 = 3 x 5 x 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 9379
9379 = 83 x 113
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 9375 and 9379 is 1