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 3555, 3556 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3555 and 3556 is 1.
GCF(3555,3556) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3555
3 | 3555 |
3 | 1185 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 3555 are 3,5,79. Prime factorization of 3555 in exponential form is:
3555 = 32×51×791
Prime Factorization of 3556
2 | 3556 |
2 | 1778 |
7 | 889 |
127 | 127 |
1 |
Prime factors of 3556 are 2,7,127. Prime factorization of 3556 in exponential form is:
3556 = 22×71×1271
∴ So by taking common prime factors GCF of 3555 and 3556 is 1
Factors of 3555
List of positive integer factors of 3555 that divides 3555 without a remainder.
1,3,5,9,15,45,79,237,395,711,1185,3555
Factors of 3556
List of positive integer factors of 3556 that divides 3556 without a remainder.
1,2,4,7,14,28,127,254,508,889,1778,3556
Greatest Common Factor
We found the factors and prime factorization of 3555 and 3556. The biggest common factor number is the GCF number.
So the greatest common factor 3555 and 3556 is 1.
Also check out the Least Common Multiple of 3555 and 3556
(i) The GCF of 3555 and 3556 is associative
GCF of 3555 and 3556 = GCF of 3556 and 3555
1. What is the GCF of 3555 and 3556?
Answer: GCF of 3555 and 3556 is 1.
2. What are the Factors of 3555?
Answer: Factors of 3555 are 1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555. There are 12 integers that are factors of 3555. The greatest factor of 3555 is 3555.
3. What are the Factors of 3556?
Answer: Factors of 3556 are 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556. There are 12 integers that are factors of 3556. The greatest factor of 3556 is 3556.
4. How to Find the GCF of 3555 and 3556?
Answer:
Greatest Common Factor of 3555 and 3556 = 1
Step 1: Find the prime factorization of 3555
3555 = 3 x 3 x 5 x 79
Step 2: Find the prime factorization of 3556
3556 = 2 x 2 x 7 x 127
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 3555 and 3556 is 1