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 8462, 8466 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8462 and 8466 is 2.
GCF(8462,8466) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8462
2 | 8462 |
4231 | 4231 |
1 |
Prime factors of 8462 are 2,4231. Prime factorization of 8462 in exponential form is:
8462 = 21×42311
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
∴ So by taking common prime factors GCF of 8462 and 8466 is 2
Factors of 8462
List of positive integer factors of 8462 that divides 8462 without a remainder.
1,2,4231,8462
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
Greatest Common Factor
We found the factors and prime factorization of 8462 and 8466. The biggest common factor number is the GCF number.
So the greatest common factor 8462 and 8466 is 2.
Also check out the Least Common Multiple of 8462 and 8466
(i) The GCF of 8462 and 8466 is associative
GCF of 8462 and 8466 = GCF of 8466 and 8462
1. What is the GCF of 8462 and 8466?
Answer: GCF of 8462 and 8466 is 2.
2. What are the Factors of 8462?
Answer: Factors of 8462 are 1, 2, 4231, 8462. There are 4 integers that are factors of 8462. The greatest factor of 8462 is 8462.
3. 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.
4. How to Find the GCF of 8462 and 8466?
Answer:
Greatest Common Factor of 8462 and 8466 = 2
Step 1: Find the prime factorization of 8462
8462 = 2 x 4231
Step 2: Find the prime factorization of 8466
8466 = 2 x 3 x 17 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8462 and 8466 is 2