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 4816, 4821 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4816 and 4821 is 1.
GCF(4816,4821) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4816
2 | 4816 |
2 | 2408 |
2 | 1204 |
2 | 602 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 4816 are 2,7,43. Prime factorization of 4816 in exponential form is:
4816 = 24×71×431
Prime Factorization of 4821
3 | 4821 |
1607 | 1607 |
1 |
Prime factors of 4821 are 3,1607. Prime factorization of 4821 in exponential form is:
4821 = 31×16071
∴ So by taking common prime factors GCF of 4816 and 4821 is 1
Factors of 4816
List of positive integer factors of 4816 that divides 4816 without a remainder.
1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816
Factors of 4821
List of positive integer factors of 4821 that divides 4821 without a remainder.
1,3,1607,4821
Greatest Common Factor
We found the factors and prime factorization of 4816 and 4821. The biggest common factor number is the GCF number.
So the greatest common factor 4816 and 4821 is 1.
Also check out the Least Common Multiple of 4816 and 4821
(i) The GCF of 4816 and 4821 is associative
GCF of 4816 and 4821 = GCF of 4821 and 4816
1. What is the GCF of 4816 and 4821?
Answer: GCF of 4816 and 4821 is 1.
2. What are the Factors of 4816?
Answer: Factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816. There are 20 integers that are factors of 4816. The greatest factor of 4816 is 4816.
3. What are the Factors of 4821?
Answer: Factors of 4821 are 1, 3, 1607, 4821. There are 4 integers that are factors of 4821. The greatest factor of 4821 is 4821.
4. How to Find the GCF of 4816 and 4821?
Answer:
Greatest Common Factor of 4816 and 4821 = 1
Step 1: Find the prime factorization of 4816
4816 = 2 x 2 x 2 x 2 x 7 x 43
Step 2: Find the prime factorization of 4821
4821 = 3 x 1607
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 4816 and 4821 is 1