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 1807, 1809 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1807 and 1809 is 1.
GCF(1807,1809) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1807
13 | 1807 |
139 | 139 |
1 |
Prime factors of 1807 are 13,139. Prime factorization of 1807 in exponential form is:
1807 = 131×1391
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 1807 and 1809 is 1
Factors of 1807
List of positive integer factors of 1807 that divides 1807 without a remainder.
1,13,139,1807
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 1807 and 1809. The biggest common factor number is the GCF number.
So the greatest common factor 1807 and 1809 is 1.
Also check out the Least Common Multiple of 1807 and 1809
(i) The GCF of 1807 and 1809 is associative
GCF of 1807 and 1809 = GCF of 1809 and 1807
1. What is the GCF of 1807 and 1809?
Answer: GCF of 1807 and 1809 is 1.
2. What are the Factors of 1807?
Answer: Factors of 1807 are 1, 13, 139, 1807. There are 4 integers that are factors of 1807. The greatest factor of 1807 is 1807.
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 1807 and 1809?
Answer:
Greatest Common Factor of 1807 and 1809 = 1
Step 1: Find the prime factorization of 1807
1807 = 13 x 139
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 1807 and 1809 is 1