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 4815, 4819 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4815 and 4819 is 1.
GCF(4815,4819) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4815
3 | 4815 |
3 | 1605 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 4815 are 3,5,107. Prime factorization of 4815 in exponential form is:
4815 = 32×51×1071
Prime Factorization of 4819
61 | 4819 |
79 | 79 |
1 |
Prime factors of 4819 are 61,79. Prime factorization of 4819 in exponential form is:
4819 = 611×791
∴ So by taking common prime factors GCF of 4815 and 4819 is 1
Factors of 4815
List of positive integer factors of 4815 that divides 4815 without a remainder.
1,3,5,9,15,45,107,321,535,963,1605,4815
Factors of 4819
List of positive integer factors of 4819 that divides 4819 without a remainder.
1,61,79,4819
Greatest Common Factor
We found the factors and prime factorization of 4815 and 4819. The biggest common factor number is the GCF number.
So the greatest common factor 4815 and 4819 is 1.
Also check out the Least Common Multiple of 4815 and 4819
(i) The GCF of 4815 and 4819 is associative
GCF of 4815 and 4819 = GCF of 4819 and 4815
1. What is the GCF of 4815 and 4819?
Answer: GCF of 4815 and 4819 is 1.
2. What are the Factors of 4815?
Answer: Factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815. There are 12 integers that are factors of 4815. The greatest factor of 4815 is 4815.
3. What are the Factors of 4819?
Answer: Factors of 4819 are 1, 61, 79, 4819. There are 4 integers that are factors of 4819. The greatest factor of 4819 is 4819.
4. How to Find the GCF of 4815 and 4819?
Answer:
Greatest Common Factor of 4815 and 4819 = 1
Step 1: Find the prime factorization of 4815
4815 = 3 x 3 x 5 x 107
Step 2: Find the prime factorization of 4819
4819 = 61 x 79
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 4815 and 4819 is 1