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 4543, 4548 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4543 and 4548 is 1.
GCF(4543,4548) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4543
7 | 4543 |
11 | 649 |
59 | 59 |
1 |
Prime factors of 4543 are 7,11,59. Prime factorization of 4543 in exponential form is:
4543 = 71×111×591
Prime Factorization of 4548
2 | 4548 |
2 | 2274 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 4548 are 2,3,379. Prime factorization of 4548 in exponential form is:
4548 = 22×31×3791
∴ So by taking common prime factors GCF of 4543 and 4548 is 1
Factors of 4543
List of positive integer factors of 4543 that divides 4543 without a remainder.
1,7,11,59,77,413,649,4543
Factors of 4548
List of positive integer factors of 4548 that divides 4548 without a remainder.
1,2,3,4,6,12,379,758,1137,1516,2274,4548
Greatest Common Factor
We found the factors and prime factorization of 4543 and 4548. The biggest common factor number is the GCF number.
So the greatest common factor 4543 and 4548 is 1.
Also check out the Least Common Multiple of 4543 and 4548
(i) The GCF of 4543 and 4548 is associative
GCF of 4543 and 4548 = GCF of 4548 and 4543
1. What is the GCF of 4543 and 4548?
Answer: GCF of 4543 and 4548 is 1.
2. What are the Factors of 4543?
Answer: Factors of 4543 are 1, 7, 11, 59, 77, 413, 649, 4543. There are 8 integers that are factors of 4543. The greatest factor of 4543 is 4543.
3. What are the Factors of 4548?
Answer: Factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548. There are 12 integers that are factors of 4548. The greatest factor of 4548 is 4548.
4. How to Find the GCF of 4543 and 4548?
Answer:
Greatest Common Factor of 4543 and 4548 = 1
Step 1: Find the prime factorization of 4543
4543 = 7 x 11 x 59
Step 2: Find the prime factorization of 4548
4548 = 2 x 2 x 3 x 379
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 4543 and 4548 is 1