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 2899, 2900 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2899 and 2900 is 1.
GCF(2899,2900) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2899
13 | 2899 |
223 | 223 |
1 |
Prime factors of 2899 are 13,223. Prime factorization of 2899 in exponential form is:
2899 = 131×2231
Prime Factorization of 2900
2 | 2900 |
2 | 1450 |
5 | 725 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 2900 are 2,5,29. Prime factorization of 2900 in exponential form is:
2900 = 22×52×291
∴ So by taking common prime factors GCF of 2899 and 2900 is 1
Factors of 2899
List of positive integer factors of 2899 that divides 2899 without a remainder.
1,13,223,2899
Factors of 2900
List of positive integer factors of 2900 that divides 2900 without a remainder.
1,2,4,5,10,20,25,29,50,58,100,116,145,290,580,725,1450,2900
Greatest Common Factor
We found the factors and prime factorization of 2899 and 2900. The biggest common factor number is the GCF number.
So the greatest common factor 2899 and 2900 is 1.
Also check out the Least Common Multiple of 2899 and 2900
(i) The GCF of 2899 and 2900 is associative
GCF of 2899 and 2900 = GCF of 2900 and 2899
1. What is the GCF of 2899 and 2900?
Answer: GCF of 2899 and 2900 is 1.
2. What are the Factors of 2899?
Answer: Factors of 2899 are 1, 13, 223, 2899. There are 4 integers that are factors of 2899. The greatest factor of 2899 is 2899.
3. What are the Factors of 2900?
Answer: Factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900. There are 18 integers that are factors of 2900. The greatest factor of 2900 is 2900.
4. How to Find the GCF of 2899 and 2900?
Answer:
Greatest Common Factor of 2899 and 2900 = 1
Step 1: Find the prime factorization of 2899
2899 = 13 x 223
Step 2: Find the prime factorization of 2900
2900 = 2 x 2 x 5 x 5 x 29
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 2899 and 2900 is 1