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 5533, 5538 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5533 and 5538 is 1.
GCF(5533,5538) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5533
11 | 5533 |
503 | 503 |
1 |
Prime factors of 5533 are 11,503. Prime factorization of 5533 in exponential form is:
5533 = 111×5031
Prime Factorization of 5538
2 | 5538 |
3 | 2769 |
13 | 923 |
71 | 71 |
1 |
Prime factors of 5538 are 2,3,13,71. Prime factorization of 5538 in exponential form is:
5538 = 21×31×131×711
∴ So by taking common prime factors GCF of 5533 and 5538 is 1
Factors of 5533
List of positive integer factors of 5533 that divides 5533 without a remainder.
1,11,503,5533
Factors of 5538
List of positive integer factors of 5538 that divides 5538 without a remainder.
1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538
Greatest Common Factor
We found the factors and prime factorization of 5533 and 5538. The biggest common factor number is the GCF number.
So the greatest common factor 5533 and 5538 is 1.
Also check out the Least Common Multiple of 5533 and 5538
(i) The GCF of 5533 and 5538 is associative
GCF of 5533 and 5538 = GCF of 5538 and 5533
1. What is the GCF of 5533 and 5538?
Answer: GCF of 5533 and 5538 is 1.
2. What are the Factors of 5533?
Answer: Factors of 5533 are 1, 11, 503, 5533. There are 4 integers that are factors of 5533. The greatest factor of 5533 is 5533.
3. What are the Factors of 5538?
Answer: Factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538. There are 16 integers that are factors of 5538. The greatest factor of 5538 is 5538.
4. How to Find the GCF of 5533 and 5538?
Answer:
Greatest Common Factor of 5533 and 5538 = 1
Step 1: Find the prime factorization of 5533
5533 = 11 x 503
Step 2: Find the prime factorization of 5538
5538 = 2 x 3 x 13 x 71
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 5533 and 5538 is 1