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, 4823 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4815 and 4823 is 1.
GCF(4815,4823) = 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 4823
7 | 4823 |
13 | 689 |
53 | 53 |
1 |
Prime factors of 4823 are 7,13,53. Prime factorization of 4823 in exponential form is:
4823 = 71×131×531
∴ So by taking common prime factors GCF of 4815 and 4823 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 4823
List of positive integer factors of 4823 that divides 4823 without a remainder.
1,7,13,53,91,371,689,4823
Greatest Common Factor
We found the factors and prime factorization of 4815 and 4823. The biggest common factor number is the GCF number.
So the greatest common factor 4815 and 4823 is 1.
Also check out the Least Common Multiple of 4815 and 4823
(i) The GCF of 4815 and 4823 is associative
GCF of 4815 and 4823 = GCF of 4823 and 4815
1. What is the GCF of 4815 and 4823?
Answer: GCF of 4815 and 4823 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 4823?
Answer: Factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823. There are 8 integers that are factors of 4823. The greatest factor of 4823 is 4823.
4. How to Find the GCF of 4815 and 4823?
Answer:
Greatest Common Factor of 4815 and 4823 = 1
Step 1: Find the prime factorization of 4815
4815 = 3 x 3 x 5 x 107
Step 2: Find the prime factorization of 4823
4823 = 7 x 13 x 53
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 4823 is 1