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 2598, 2599 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2598 and 2599 is 1.
GCF(2598,2599) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2598
2 | 2598 |
3 | 1299 |
433 | 433 |
1 |
Prime factors of 2598 are 2,3,433. Prime factorization of 2598 in exponential form is:
2598 = 21×31×4331
Prime Factorization of 2599
23 | 2599 |
113 | 113 |
1 |
Prime factors of 2599 are 23,113. Prime factorization of 2599 in exponential form is:
2599 = 231×1131
∴ So by taking common prime factors GCF of 2598 and 2599 is 1
Factors of 2598
List of positive integer factors of 2598 that divides 2598 without a remainder.
1,2,3,6,433,866,1299,2598
Factors of 2599
List of positive integer factors of 2599 that divides 2599 without a remainder.
1,23,113,2599
Greatest Common Factor
We found the factors and prime factorization of 2598 and 2599. The biggest common factor number is the GCF number.
So the greatest common factor 2598 and 2599 is 1.
Also check out the Least Common Multiple of 2598 and 2599
(i) The GCF of 2598 and 2599 is associative
GCF of 2598 and 2599 = GCF of 2599 and 2598
1. What is the GCF of 2598 and 2599?
Answer: GCF of 2598 and 2599 is 1.
2. What are the Factors of 2598?
Answer: Factors of 2598 are 1, 2, 3, 6, 433, 866, 1299, 2598. There are 8 integers that are factors of 2598. The greatest factor of 2598 is 2598.
3. What are the Factors of 2599?
Answer: Factors of 2599 are 1, 23, 113, 2599. There are 4 integers that are factors of 2599. The greatest factor of 2599 is 2599.
4. How to Find the GCF of 2598 and 2599?
Answer:
Greatest Common Factor of 2598 and 2599 = 1
Step 1: Find the prime factorization of 2598
2598 = 2 x 3 x 433
Step 2: Find the prime factorization of 2599
2599 = 23 x 113
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 2598 and 2599 is 1