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, 1557 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1554 and 1557 is 3.
GCF(1554,1557) = 3
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 1557
3 | 1557 |
3 | 519 |
173 | 173 |
1 |
Prime factors of 1557 are 3,173. Prime factorization of 1557 in exponential form is:
1557 = 32×1731
∴ So by taking common prime factors GCF of 1554 and 1557 is 3
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 1557
List of positive integer factors of 1557 that divides 1557 without a remainder.
1,3,9,173,519,1557
Greatest Common Factor
We found the factors and prime factorization of 1554 and 1557. The biggest common factor number is the GCF number.
So the greatest common factor 1554 and 1557 is 3.
Also check out the Least Common Multiple of 1554 and 1557
(i) The GCF of 1554 and 1557 is associative
GCF of 1554 and 1557 = GCF of 1557 and 1554
1. What is the GCF of 1554 and 1557?
Answer: GCF of 1554 and 1557 is 3.
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 1557?
Answer: Factors of 1557 are 1, 3, 9, 173, 519, 1557. There are 6 integers that are factors of 1557. The greatest factor of 1557 is 1557.
4. How to Find the GCF of 1554 and 1557?
Answer:
Greatest Common Factor of 1554 and 1557 = 3
Step 1: Find the prime factorization of 1554
1554 = 2 x 3 x 7 x 37
Step 2: Find the prime factorization of 1557
1557 = 3 x 3 x 173
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 1554 and 1557 is 3