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 4556, 4563 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4556 and 4563 is 1.
GCF(4556,4563) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4556
2 | 4556 |
2 | 2278 |
17 | 1139 |
67 | 67 |
1 |
Prime factors of 4556 are 2,17,67. Prime factorization of 4556 in exponential form is:
4556 = 22×171×671
Prime Factorization of 4563
3 | 4563 |
3 | 1521 |
3 | 507 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 4563 are 3,13. Prime factorization of 4563 in exponential form is:
4563 = 33×132
∴ So by taking common prime factors GCF of 4556 and 4563 is 1
Factors of 4556
List of positive integer factors of 4556 that divides 4556 without a remainder.
1,2,4,17,34,67,68,134,268,1139,2278,4556
Factors of 4563
List of positive integer factors of 4563 that divides 4563 without a remainder.
1,3,9,13,27,39,117,169,351,507,1521,4563
Greatest Common Factor
We found the factors and prime factorization of 4556 and 4563. The biggest common factor number is the GCF number.
So the greatest common factor 4556 and 4563 is 1.
Also check out the Least Common Multiple of 4556 and 4563
(i) The GCF of 4556 and 4563 is associative
GCF of 4556 and 4563 = GCF of 4563 and 4556
1. What is the GCF of 4556 and 4563?
Answer: GCF of 4556 and 4563 is 1.
2. What are the Factors of 4556?
Answer: Factors of 4556 are 1, 2, 4, 17, 34, 67, 68, 134, 268, 1139, 2278, 4556. There are 12 integers that are factors of 4556. The greatest factor of 4556 is 4556.
3. What are the Factors of 4563?
Answer: Factors of 4563 are 1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 4563. There are 12 integers that are factors of 4563. The greatest factor of 4563 is 4563.
4. How to Find the GCF of 4556 and 4563?
Answer:
Greatest Common Factor of 4556 and 4563 = 1
Step 1: Find the prime factorization of 4556
4556 = 2 x 2 x 17 x 67
Step 2: Find the prime factorization of 4563
4563 = 3 x 3 x 3 x 13 x 13
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 4556 and 4563 is 1