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 20366, 20369 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 20366 and 20369 is 1.
GCF(20366,20369) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 20366
2 | 20366 |
17 | 10183 |
599 | 599 |
1 |
Prime factors of 20366 are 2,17,599. Prime factorization of 20366 in exponential form is:
20366 = 21×171×5991
Prime Factorization of 20369
20369 | 20369 |
1 |
Prime factors of 20369 are 20369. Prime factorization of 20369 in exponential form is:
20369 = 203691
∴ So by taking common prime factors GCF of 20366 and 20369 is 1
Factors of 20366
List of positive integer factors of 20366 that divides 20366 without a remainder.
1,2,17,34,599,1198,10183,20366
Factors of 20369
List of positive integer factors of 20369 that divides 20369 without a remainder.
1,20369
Greatest Common Factor
We found the factors and prime factorization of 20366 and 20369. The biggest common factor number is the GCF number.
So the greatest common factor 20366 and 20369 is 1.
Also check out the Least Common Multiple of 20366 and 20369
(i) The GCF of 20366 and 20369 is associative
GCF of 20366 and 20369 = GCF of 20369 and 20366
1. What is the GCF of 20366 and 20369?
Answer: GCF of 20366 and 20369 is 1.
2. What are the Factors of 20366?
Answer: Factors of 20366 are 1, 2, 17, 34, 599, 1198, 10183, 20366. There are 8 integers that are factors of 20366. The greatest factor of 20366 is 20366.
3. What are the Factors of 20369?
Answer: Factors of 20369 are 1, 20369. There are 2 integers that are factors of 20369. The greatest factor of 20369 is 20369.
4. How to Find the GCF of 20366 and 20369?
Answer:
Greatest Common Factor of 20366 and 20369 = 1
Step 1: Find the prime factorization of 20366
20366 = 2 x 17 x 599
Step 2: Find the prime factorization of 20369
20369 = 20369
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 20366 and 20369 is 1