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 20387, 20394 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 20387 and 20394 is 1.
GCF(20387,20394) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 20387
19 | 20387 |
29 | 1073 |
37 | 37 |
1 |
Prime factors of 20387 are 19,29,37. Prime factorization of 20387 in exponential form is:
20387 = 191×291×371
Prime Factorization of 20394
2 | 20394 |
3 | 10197 |
3 | 3399 |
11 | 1133 |
103 | 103 |
1 |
Prime factors of 20394 are 2,3,11,103. Prime factorization of 20394 in exponential form is:
20394 = 21×32×111×1031
∴ So by taking common prime factors GCF of 20387 and 20394 is 1
Factors of 20387
List of positive integer factors of 20387 that divides 20387 without a remainder.
1,19,29,37,551,703,1073,20387
Factors of 20394
List of positive integer factors of 20394 that divides 20394 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,103,198,206,309,618,927,1133,1854,2266,3399,6798,10197,20394
Greatest Common Factor
We found the factors and prime factorization of 20387 and 20394. The biggest common factor number is the GCF number.
So the greatest common factor 20387 and 20394 is 1.
Also check out the Least Common Multiple of 20387 and 20394
(i) The GCF of 20387 and 20394 is associative
GCF of 20387 and 20394 = GCF of 20394 and 20387
1. What is the GCF of 20387 and 20394?
Answer: GCF of 20387 and 20394 is 1.
2. What are the Factors of 20387?
Answer: Factors of 20387 are 1, 19, 29, 37, 551, 703, 1073, 20387. There are 8 integers that are factors of 20387. The greatest factor of 20387 is 20387.
3. What are the Factors of 20394?
Answer: Factors of 20394 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 103, 198, 206, 309, 618, 927, 1133, 1854, 2266, 3399, 6798, 10197, 20394. There are 24 integers that are factors of 20394. The greatest factor of 20394 is 20394.
4. How to Find the GCF of 20387 and 20394?
Answer:
Greatest Common Factor of 20387 and 20394 = 1
Step 1: Find the prime factorization of 20387
20387 = 19 x 29 x 37
Step 2: Find the prime factorization of 20394
20394 = 2 x 3 x 3 x 11 x 103
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 20387 and 20394 is 1