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 2553, 2559 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2553 and 2559 is 3.
GCF(2553,2559) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2553
3 | 2553 |
23 | 851 |
37 | 37 |
1 |
Prime factors of 2553 are 3,23,37. Prime factorization of 2553 in exponential form is:
2553 = 31×231×371
Prime Factorization of 2559
3 | 2559 |
853 | 853 |
1 |
Prime factors of 2559 are 3,853. Prime factorization of 2559 in exponential form is:
2559 = 31×8531
∴ So by taking common prime factors GCF of 2553 and 2559 is 3
Factors of 2553
List of positive integer factors of 2553 that divides 2553 without a remainder.
1,3,23,37,69,111,851,2553
Factors of 2559
List of positive integer factors of 2559 that divides 2559 without a remainder.
1,3,853,2559
Greatest Common Factor
We found the factors and prime factorization of 2553 and 2559. The biggest common factor number is the GCF number.
So the greatest common factor 2553 and 2559 is 3.
Also check out the Least Common Multiple of 2553 and 2559
(i) The GCF of 2553 and 2559 is associative
GCF of 2553 and 2559 = GCF of 2559 and 2553
1. What is the GCF of 2553 and 2559?
Answer: GCF of 2553 and 2559 is 3.
2. What are the Factors of 2553?
Answer: Factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553. There are 8 integers that are factors of 2553. The greatest factor of 2553 is 2553.
3. What are the Factors of 2559?
Answer: Factors of 2559 are 1, 3, 853, 2559. There are 4 integers that are factors of 2559. The greatest factor of 2559 is 2559.
4. How to Find the GCF of 2553 and 2559?
Answer:
Greatest Common Factor of 2553 and 2559 = 3
Step 1: Find the prime factorization of 2553
2553 = 3 x 23 x 37
Step 2: Find the prime factorization of 2559
2559 = 3 x 853
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 2553 and 2559 is 3