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 3543, 3548 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3543 and 3548 is 1.
GCF(3543,3548) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3543
3 | 3543 |
1181 | 1181 |
1 |
Prime factors of 3543 are 3,1181. Prime factorization of 3543 in exponential form is:
3543 = 31×11811
Prime Factorization of 3548
2 | 3548 |
2 | 1774 |
887 | 887 |
1 |
Prime factors of 3548 are 2,887. Prime factorization of 3548 in exponential form is:
3548 = 22×8871
∴ So by taking common prime factors GCF of 3543 and 3548 is 1
Factors of 3543
List of positive integer factors of 3543 that divides 3543 without a remainder.
1,3,1181,3543
Factors of 3548
List of positive integer factors of 3548 that divides 3548 without a remainder.
1,2,4,887,1774,3548
Greatest Common Factor
We found the factors and prime factorization of 3543 and 3548. The biggest common factor number is the GCF number.
So the greatest common factor 3543 and 3548 is 1.
Also check out the Least Common Multiple of 3543 and 3548
(i) The GCF of 3543 and 3548 is associative
GCF of 3543 and 3548 = GCF of 3548 and 3543
1. What is the GCF of 3543 and 3548?
Answer: GCF of 3543 and 3548 is 1.
2. What are the Factors of 3543?
Answer: Factors of 3543 are 1, 3, 1181, 3543. There are 4 integers that are factors of 3543. The greatest factor of 3543 is 3543.
3. What are the Factors of 3548?
Answer: Factors of 3548 are 1, 2, 4, 887, 1774, 3548. There are 6 integers that are factors of 3548. The greatest factor of 3548 is 3548.
4. How to Find the GCF of 3543 and 3548?
Answer:
Greatest Common Factor of 3543 and 3548 = 1
Step 1: Find the prime factorization of 3543
3543 = 3 x 1181
Step 2: Find the prime factorization of 3548
3548 = 2 x 2 x 887
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 3543 and 3548 is 1