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 5577, 5578 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5577 and 5578 is 1.
GCF(5577,5578) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5578
2 | 5578 |
2789 | 2789 |
1 |
Prime factors of 5578 are 2,2789. Prime factorization of 5578 in exponential form is:
5578 = 21×27891
∴ So by taking common prime factors GCF of 5577 and 5578 is 1
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
Factors of 5578
List of positive integer factors of 5578 that divides 5578 without a remainder.
1,2,2789,5578
Greatest Common Factor
We found the factors and prime factorization of 5577 and 5578. The biggest common factor number is the GCF number.
So the greatest common factor 5577 and 5578 is 1.
Also check out the Least Common Multiple of 5577 and 5578
(i) The GCF of 5577 and 5578 is associative
GCF of 5577 and 5578 = GCF of 5578 and 5577
1. What is the GCF of 5577 and 5578?
Answer: GCF of 5577 and 5578 is 1.
2. 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.
3. What are the Factors of 5578?
Answer: Factors of 5578 are 1, 2, 2789, 5578. There are 4 integers that are factors of 5578. The greatest factor of 5578 is 5578.
4. How to Find the GCF of 5577 and 5578?
Answer:
Greatest Common Factor of 5577 and 5578 = 1
Step 1: Find the prime factorization of 5577
5577 = 3 x 11 x 13 x 13
Step 2: Find the prime factorization of 5578
5578 = 2 x 2789
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 5577 and 5578 is 1