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 5537, 5543 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5537 and 5543 is 1.
GCF(5537,5543) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5537
7 | 5537 |
7 | 791 |
113 | 113 |
1 |
Prime factors of 5537 are 7,113. Prime factorization of 5537 in exponential form is:
5537 = 72×1131
Prime Factorization of 5543
23 | 5543 |
241 | 241 |
1 |
Prime factors of 5543 are 23,241. Prime factorization of 5543 in exponential form is:
5543 = 231×2411
∴ So by taking common prime factors GCF of 5537 and 5543 is 1
Factors of 5537
List of positive integer factors of 5537 that divides 5537 without a remainder.
1,7,49,113,791,5537
Factors of 5543
List of positive integer factors of 5543 that divides 5543 without a remainder.
1,23,241,5543
Greatest Common Factor
We found the factors and prime factorization of 5537 and 5543. The biggest common factor number is the GCF number.
So the greatest common factor 5537 and 5543 is 1.
Also check out the Least Common Multiple of 5537 and 5543
(i) The GCF of 5537 and 5543 is associative
GCF of 5537 and 5543 = GCF of 5543 and 5537
1. What is the GCF of 5537 and 5543?
Answer: GCF of 5537 and 5543 is 1.
2. What are the Factors of 5537?
Answer: Factors of 5537 are 1, 7, 49, 113, 791, 5537. There are 6 integers that are factors of 5537. The greatest factor of 5537 is 5537.
3. What are the Factors of 5543?
Answer: Factors of 5543 are 1, 23, 241, 5543. There are 4 integers that are factors of 5543. The greatest factor of 5543 is 5543.
4. How to Find the GCF of 5537 and 5543?
Answer:
Greatest Common Factor of 5537 and 5543 = 1
Step 1: Find the prime factorization of 5537
5537 = 7 x 7 x 113
Step 2: Find the prime factorization of 5543
5543 = 23 x 241
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 5537 and 5543 is 1