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 21468, 21473 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 21468 and 21473 is 1.
GCF(21468,21473) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 21468
2 | 21468 |
2 | 10734 |
3 | 5367 |
1789 | 1789 |
1 |
Prime factors of 21468 are 2,3,1789. Prime factorization of 21468 in exponential form is:
21468 = 22×31×17891
Prime Factorization of 21473
109 | 21473 |
197 | 197 |
1 |
Prime factors of 21473 are 109,197. Prime factorization of 21473 in exponential form is:
21473 = 1091×1971
∴ So by taking common prime factors GCF of 21468 and 21473 is 1
Factors of 21468
List of positive integer factors of 21468 that divides 21468 without a remainder.
1,2,3,4,6,12,1789,3578,5367,7156,10734,21468
Factors of 21473
List of positive integer factors of 21473 that divides 21473 without a remainder.
1,109,197,21473
Greatest Common Factor
We found the factors and prime factorization of 21468 and 21473. The biggest common factor number is the GCF number.
So the greatest common factor 21468 and 21473 is 1.
Also check out the Least Common Multiple of 21468 and 21473
(i) The GCF of 21468 and 21473 is associative
GCF of 21468 and 21473 = GCF of 21473 and 21468
1. What is the GCF of 21468 and 21473?
Answer: GCF of 21468 and 21473 is 1.
2. What are the Factors of 21468?
Answer: Factors of 21468 are 1, 2, 3, 4, 6, 12, 1789, 3578, 5367, 7156, 10734, 21468. There are 12 integers that are factors of 21468. The greatest factor of 21468 is 21468.
3. What are the Factors of 21473?
Answer: Factors of 21473 are 1, 109, 197, 21473. There are 4 integers that are factors of 21473. The greatest factor of 21473 is 21473.
4. How to Find the GCF of 21468 and 21473?
Answer:
Greatest Common Factor of 21468 and 21473 = 1
Step 1: Find the prime factorization of 21468
21468 = 2 x 2 x 3 x 1789
Step 2: Find the prime factorization of 21473
21473 = 109 x 197
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 21468 and 21473 is 1