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 1802, 1809 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1802 and 1809 is 1.
GCF(1802,1809) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1802
2 | 1802 |
17 | 901 |
53 | 53 |
1 |
Prime factors of 1802 are 2,17,53. Prime factorization of 1802 in exponential form is:
1802 = 21×171×531
Prime Factorization of 1809
3 | 1809 |
3 | 603 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 1809 are 3,67. Prime factorization of 1809 in exponential form is:
1809 = 33×671
∴ So by taking common prime factors GCF of 1802 and 1809 is 1
Factors of 1802
List of positive integer factors of 1802 that divides 1802 without a remainder.
1,2,17,34,53,106,901,1802
Factors of 1809
List of positive integer factors of 1809 that divides 1809 without a remainder.
1,3,9,27,67,201,603,1809
Greatest Common Factor
We found the factors and prime factorization of 1802 and 1809. The biggest common factor number is the GCF number.
So the greatest common factor 1802 and 1809 is 1.
Also check out the Least Common Multiple of 1802 and 1809
(i) The GCF of 1802 and 1809 is associative
GCF of 1802 and 1809 = GCF of 1809 and 1802
1. What is the GCF of 1802 and 1809?
Answer: GCF of 1802 and 1809 is 1.
2. What are the Factors of 1802?
Answer: Factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802. There are 8 integers that are factors of 1802. The greatest factor of 1802 is 1802.
3. What are the Factors of 1809?
Answer: Factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809. There are 8 integers that are factors of 1809. The greatest factor of 1809 is 1809.
4. How to Find the GCF of 1802 and 1809?
Answer:
Greatest Common Factor of 1802 and 1809 = 1
Step 1: Find the prime factorization of 1802
1802 = 2 x 17 x 53
Step 2: Find the prime factorization of 1809
1809 = 3 x 3 x 3 x 67
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 1802 and 1809 is 1