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 1556, 1563 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1556 and 1563 is 1.
GCF(1556,1563) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1556
2 | 1556 |
2 | 778 |
389 | 389 |
1 |
Prime factors of 1556 are 2,389. Prime factorization of 1556 in exponential form is:
1556 = 22×3891
Prime Factorization of 1563
3 | 1563 |
521 | 521 |
1 |
Prime factors of 1563 are 3,521. Prime factorization of 1563 in exponential form is:
1563 = 31×5211
∴ So by taking common prime factors GCF of 1556 and 1563 is 1
Factors of 1556
List of positive integer factors of 1556 that divides 1556 without a remainder.
1,2,4,389,778,1556
Factors of 1563
List of positive integer factors of 1563 that divides 1563 without a remainder.
1,3,521,1563
Greatest Common Factor
We found the factors and prime factorization of 1556 and 1563. The biggest common factor number is the GCF number.
So the greatest common factor 1556 and 1563 is 1.
Also check out the Least Common Multiple of 1556 and 1563
(i) The GCF of 1556 and 1563 is associative
GCF of 1556 and 1563 = GCF of 1563 and 1556
1. What is the GCF of 1556 and 1563?
Answer: GCF of 1556 and 1563 is 1.
2. What are the Factors of 1556?
Answer: Factors of 1556 are 1, 2, 4, 389, 778, 1556. There are 6 integers that are factors of 1556. The greatest factor of 1556 is 1556.
3. What are the Factors of 1563?
Answer: Factors of 1563 are 1, 3, 521, 1563. There are 4 integers that are factors of 1563. The greatest factor of 1563 is 1563.
4. How to Find the GCF of 1556 and 1563?
Answer:
Greatest Common Factor of 1556 and 1563 = 1
Step 1: Find the prime factorization of 1556
1556 = 2 x 2 x 389
Step 2: Find the prime factorization of 1563
1563 = 3 x 521
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 1556 and 1563 is 1