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 8466, 8473 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8466 and 8473 is 1.
GCF(8466,8473) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8466
2 | 8466 |
3 | 4233 |
17 | 1411 |
83 | 83 |
1 |
Prime factors of 8466 are 2,3,17,83. Prime factorization of 8466 in exponential form is:
8466 = 21×31×171×831
Prime Factorization of 8473
37 | 8473 |
229 | 229 |
1 |
Prime factors of 8473 are 37,229. Prime factorization of 8473 in exponential form is:
8473 = 371×2291
∴ So by taking common prime factors GCF of 8466 and 8473 is 1
Factors of 8466
List of positive integer factors of 8466 that divides 8466 without a remainder.
1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466
Factors of 8473
List of positive integer factors of 8473 that divides 8473 without a remainder.
1,37,229,8473
Greatest Common Factor
We found the factors and prime factorization of 8466 and 8473. The biggest common factor number is the GCF number.
So the greatest common factor 8466 and 8473 is 1.
Also check out the Least Common Multiple of 8466 and 8473
(i) The GCF of 8466 and 8473 is associative
GCF of 8466 and 8473 = GCF of 8473 and 8466
1. What is the GCF of 8466 and 8473?
Answer: GCF of 8466 and 8473 is 1.
2. What are the Factors of 8466?
Answer: Factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466. There are 16 integers that are factors of 8466. The greatest factor of 8466 is 8466.
3. What are the Factors of 8473?
Answer: Factors of 8473 are 1, 37, 229, 8473. There are 4 integers that are factors of 8473. The greatest factor of 8473 is 8473.
4. How to Find the GCF of 8466 and 8473?
Answer:
Greatest Common Factor of 8466 and 8473 = 1
Step 1: Find the prime factorization of 8466
8466 = 2 x 3 x 17 x 83
Step 2: Find the prime factorization of 8473
8473 = 37 x 229
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 8466 and 8473 is 1