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 5523, 5529 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5523 and 5529 is 3.
GCF(5523,5529) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5523
3 | 5523 |
7 | 1841 |
263 | 263 |
1 |
Prime factors of 5523 are 3,7,263. Prime factorization of 5523 in exponential form is:
5523 = 31×71×2631
Prime Factorization of 5529
3 | 5529 |
19 | 1843 |
97 | 97 |
1 |
Prime factors of 5529 are 3,19,97. Prime factorization of 5529 in exponential form is:
5529 = 31×191×971
∴ So by taking common prime factors GCF of 5523 and 5529 is 3
Factors of 5523
List of positive integer factors of 5523 that divides 5523 without a remainder.
1,3,7,21,263,789,1841,5523
Factors of 5529
List of positive integer factors of 5529 that divides 5529 without a remainder.
1,3,19,57,97,291,1843,5529
Greatest Common Factor
We found the factors and prime factorization of 5523 and 5529. The biggest common factor number is the GCF number.
So the greatest common factor 5523 and 5529 is 3.
Also check out the Least Common Multiple of 5523 and 5529
(i) The GCF of 5523 and 5529 is associative
GCF of 5523 and 5529 = GCF of 5529 and 5523
1. What is the GCF of 5523 and 5529?
Answer: GCF of 5523 and 5529 is 3.
2. What are the Factors of 5523?
Answer: Factors of 5523 are 1, 3, 7, 21, 263, 789, 1841, 5523. There are 8 integers that are factors of 5523. The greatest factor of 5523 is 5523.
3. What are the Factors of 5529?
Answer: Factors of 5529 are 1, 3, 19, 57, 97, 291, 1843, 5529. There are 8 integers that are factors of 5529. The greatest factor of 5529 is 5529.
4. How to Find the GCF of 5523 and 5529?
Answer:
Greatest Common Factor of 5523 and 5529 = 3
Step 1: Find the prime factorization of 5523
5523 = 3 x 7 x 263
Step 2: Find the prime factorization of 5529
5529 = 3 x 19 x 97
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5523 and 5529 is 3