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 1554, 1555 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1554 and 1555 is 1.
GCF(1554,1555) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1554
2 | 1554 |
3 | 777 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 1554 are 2,3,7,37. Prime factorization of 1554 in exponential form is:
1554 = 21×31×71×371
Prime Factorization of 1555
5 | 1555 |
311 | 311 |
1 |
Prime factors of 1555 are 5,311. Prime factorization of 1555 in exponential form is:
1555 = 51×3111
∴ So by taking common prime factors GCF of 1554 and 1555 is 1
Factors of 1554
List of positive integer factors of 1554 that divides 1554 without a remainder.
1,2,3,6,7,14,21,37,42,74,111,222,259,518,777,1554
Factors of 1555
List of positive integer factors of 1555 that divides 1555 without a remainder.
1,5,311,1555
Greatest Common Factor
We found the factors and prime factorization of 1554 and 1555. The biggest common factor number is the GCF number.
So the greatest common factor 1554 and 1555 is 1.
Also check out the Least Common Multiple of 1554 and 1555
(i) The GCF of 1554 and 1555 is associative
GCF of 1554 and 1555 = GCF of 1555 and 1554
1. What is the GCF of 1554 and 1555?
Answer: GCF of 1554 and 1555 is 1.
2. What are the Factors of 1554?
Answer: Factors of 1554 are 1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554. There are 16 integers that are factors of 1554. The greatest factor of 1554 is 1554.
3. What are the Factors of 1555?
Answer: Factors of 1555 are 1, 5, 311, 1555. There are 4 integers that are factors of 1555. The greatest factor of 1555 is 1555.
4. How to Find the GCF of 1554 and 1555?
Answer:
Greatest Common Factor of 1554 and 1555 = 1
Step 1: Find the prime factorization of 1554
1554 = 2 x 3 x 7 x 37
Step 2: Find the prime factorization of 1555
1555 = 5 x 311
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 1554 and 1555 is 1