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 1820, 1828 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1820 and 1828 is 4.
GCF(1820,1828) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1820
2 | 1820 |
2 | 910 |
5 | 455 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 1820 are 2,5,7,13. Prime factorization of 1820 in exponential form is:
1820 = 22×51×71×131
Prime Factorization of 1828
2 | 1828 |
2 | 914 |
457 | 457 |
1 |
Prime factors of 1828 are 2,457. Prime factorization of 1828 in exponential form is:
1828 = 22×4571
∴ So by taking common prime factors GCF of 1820 and 1828 is 4
Factors of 1820
List of positive integer factors of 1820 that divides 1820 without a remainder.
1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Factors of 1828
List of positive integer factors of 1828 that divides 1828 without a remainder.
1,2,4,457,914,1828
Greatest Common Factor
We found the factors and prime factorization of 1820 and 1828. The biggest common factor number is the GCF number.
So the greatest common factor 1820 and 1828 is 4.
Also check out the Least Common Multiple of 1820 and 1828
(i) The GCF of 1820 and 1828 is associative
GCF of 1820 and 1828 = GCF of 1828 and 1820
1. What is the GCF of 1820 and 1828?
Answer: GCF of 1820 and 1828 is 4.
2. What are the Factors of 1820?
Answer: Factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820. There are 24 integers that are factors of 1820. The greatest factor of 1820 is 1820.
3. What are the Factors of 1828?
Answer: Factors of 1828 are 1, 2, 4, 457, 914, 1828. There are 6 integers that are factors of 1828. The greatest factor of 1828 is 1828.
4. How to Find the GCF of 1820 and 1828?
Answer:
Greatest Common Factor of 1820 and 1828 = 4
Step 1: Find the prime factorization of 1820
1820 = 2 x 2 x 5 x 7 x 13
Step 2: Find the prime factorization of 1828
1828 = 2 x 2 x 457
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1820 and 1828 is 4