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 20461, 20466 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 20461 and 20466 is 1.
GCF(20461,20466) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 20461
7 | 20461 |
37 | 2923 |
79 | 79 |
1 |
Prime factors of 20461 are 7,37,79. Prime factorization of 20461 in exponential form is:
20461 = 71×371×791
Prime Factorization of 20466
2 | 20466 |
3 | 10233 |
3 | 3411 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 20466 are 2,3,379. Prime factorization of 20466 in exponential form is:
20466 = 21×33×3791
∴ So by taking common prime factors GCF of 20461 and 20466 is 1
Factors of 20461
List of positive integer factors of 20461 that divides 20461 without a remainder.
1,7,37,79,259,553,2923,20461
Factors of 20466
List of positive integer factors of 20466 that divides 20466 without a remainder.
1,2,3,6,9,18,27,54,379,758,1137,2274,3411,6822,10233,20466
Greatest Common Factor
We found the factors and prime factorization of 20461 and 20466. The biggest common factor number is the GCF number.
So the greatest common factor 20461 and 20466 is 1.
Also check out the Least Common Multiple of 20461 and 20466
(i) The GCF of 20461 and 20466 is associative
GCF of 20461 and 20466 = GCF of 20466 and 20461
1. What is the GCF of 20461 and 20466?
Answer: GCF of 20461 and 20466 is 1.
2. What are the Factors of 20461?
Answer: Factors of 20461 are 1, 7, 37, 79, 259, 553, 2923, 20461. There are 8 integers that are factors of 20461. The greatest factor of 20461 is 20461.
3. What are the Factors of 20466?
Answer: Factors of 20466 are 1, 2, 3, 6, 9, 18, 27, 54, 379, 758, 1137, 2274, 3411, 6822, 10233, 20466. There are 16 integers that are factors of 20466. The greatest factor of 20466 is 20466.
4. How to Find the GCF of 20461 and 20466?
Answer:
Greatest Common Factor of 20461 and 20466 = 1
Step 1: Find the prime factorization of 20461
20461 = 7 x 37 x 79
Step 2: Find the prime factorization of 20466
20466 = 2 x 3 x 3 x 3 x 379
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 20461 and 20466 is 1