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 5571, 5577 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5571 and 5577 is 3.
GCF(5571,5577) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5571
3 | 5571 |
3 | 1857 |
619 | 619 |
1 |
Prime factors of 5571 are 3,619. Prime factorization of 5571 in exponential form is:
5571 = 32×6191
Prime Factorization of 5577
3 | 5577 |
11 | 1859 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 5577 are 3,11,13. Prime factorization of 5577 in exponential form is:
5577 = 31×111×132
∴ So by taking common prime factors GCF of 5571 and 5577 is 3
Factors of 5571
List of positive integer factors of 5571 that divides 5571 without a remainder.
1,3,9,619,1857,5571
Factors of 5577
List of positive integer factors of 5577 that divides 5577 without a remainder.
1,3,11,13,33,39,143,169,429,507,1859,5577
Greatest Common Factor
We found the factors and prime factorization of 5571 and 5577. The biggest common factor number is the GCF number.
So the greatest common factor 5571 and 5577 is 3.
Also check out the Least Common Multiple of 5571 and 5577
(i) The GCF of 5571 and 5577 is associative
GCF of 5571 and 5577 = GCF of 5577 and 5571
1. What is the GCF of 5571 and 5577?
Answer: GCF of 5571 and 5577 is 3.
2. What are the Factors of 5571?
Answer: Factors of 5571 are 1, 3, 9, 619, 1857, 5571. There are 6 integers that are factors of 5571. The greatest factor of 5571 is 5571.
3. What are the Factors of 5577?
Answer: Factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577. There are 12 integers that are factors of 5577. The greatest factor of 5577 is 5577.
4. How to Find the GCF of 5571 and 5577?
Answer:
Greatest Common Factor of 5571 and 5577 = 3
Step 1: Find the prime factorization of 5571
5571 = 3 x 3 x 619
Step 2: Find the prime factorization of 5577
5577 = 3 x 11 x 13 x 13
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 5571 and 5577 is 3