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 9545, 9548 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9545 and 9548 is 1.
GCF(9545,9548) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9545
5 | 9545 |
23 | 1909 |
83 | 83 |
1 |
Prime factors of 9545 are 5,23,83. Prime factorization of 9545 in exponential form is:
9545 = 51×231×831
Prime Factorization of 9548
2 | 9548 |
2 | 4774 |
7 | 2387 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 9548 are 2,7,11,31. Prime factorization of 9548 in exponential form is:
9548 = 22×71×111×311
∴ So by taking common prime factors GCF of 9545 and 9548 is 1
Factors of 9545
List of positive integer factors of 9545 that divides 9545 without a remainder.
1,5,23,83,115,415,1909,9545
Factors of 9548
List of positive integer factors of 9548 that divides 9548 without a remainder.
1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
Greatest Common Factor
We found the factors and prime factorization of 9545 and 9548. The biggest common factor number is the GCF number.
So the greatest common factor 9545 and 9548 is 1.
Also check out the Least Common Multiple of 9545 and 9548
(i) The GCF of 9545 and 9548 is associative
GCF of 9545 and 9548 = GCF of 9548 and 9545
1. What is the GCF of 9545 and 9548?
Answer: GCF of 9545 and 9548 is 1.
2. What are the Factors of 9545?
Answer: Factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545. There are 8 integers that are factors of 9545. The greatest factor of 9545 is 9545.
3. What are the Factors of 9548?
Answer: Factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548. There are 24 integers that are factors of 9548. The greatest factor of 9548 is 9548.
4. How to Find the GCF of 9545 and 9548?
Answer:
Greatest Common Factor of 9545 and 9548 = 1
Step 1: Find the prime factorization of 9545
9545 = 5 x 23 x 83
Step 2: Find the prime factorization of 9548
9548 = 2 x 2 x 7 x 11 x 31
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 9545 and 9548 is 1