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 5555, 5562 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5555 and 5562 is 1.
GCF(5555,5562) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5555
5 | 5555 |
11 | 1111 |
101 | 101 |
1 |
Prime factors of 5555 are 5,11,101. Prime factorization of 5555 in exponential form is:
5555 = 51×111×1011
Prime Factorization of 5562
2 | 5562 |
3 | 2781 |
3 | 927 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 5562 are 2,3,103. Prime factorization of 5562 in exponential form is:
5562 = 21×33×1031
∴ So by taking common prime factors GCF of 5555 and 5562 is 1
Factors of 5555
List of positive integer factors of 5555 that divides 5555 without a remainder.
1,5,11,55,101,505,1111,5555
Factors of 5562
List of positive integer factors of 5562 that divides 5562 without a remainder.
1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562
Greatest Common Factor
We found the factors and prime factorization of 5555 and 5562. The biggest common factor number is the GCF number.
So the greatest common factor 5555 and 5562 is 1.
Also check out the Least Common Multiple of 5555 and 5562
(i) The GCF of 5555 and 5562 is associative
GCF of 5555 and 5562 = GCF of 5562 and 5555
1. What is the GCF of 5555 and 5562?
Answer: GCF of 5555 and 5562 is 1.
2. What are the Factors of 5555?
Answer: Factors of 5555 are 1, 5, 11, 55, 101, 505, 1111, 5555. There are 8 integers that are factors of 5555. The greatest factor of 5555 is 5555.
3. What are the Factors of 5562?
Answer: Factors of 5562 are 1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562. There are 16 integers that are factors of 5562. The greatest factor of 5562 is 5562.
4. How to Find the GCF of 5555 and 5562?
Answer:
Greatest Common Factor of 5555 and 5562 = 1
Step 1: Find the prime factorization of 5555
5555 = 5 x 11 x 101
Step 2: Find the prime factorization of 5562
5562 = 2 x 3 x 3 x 3 x 103
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 5555 and 5562 is 1