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 466, 468 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 466 and 468 is 2.
GCF(466,468) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 466
2 | 466 |
233 | 233 |
1 |
Prime factors of 466 are 2,233. Prime factorization of 466 in exponential form is:
466 = 21×2331
Prime Factorization of 468
2 | 468 |
2 | 234 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 468 are 2,3,13. Prime factorization of 468 in exponential form is:
468 = 22×32×131
∴ So by taking common prime factors GCF of 466 and 468 is 2
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors and prime factorization of 466 and 468. The biggest common factor number is the GCF number.
So the greatest common factor 466 and 468 is 2.
Also check out the Least Common Multiple of 466 and 468
(i) The GCF of 466 and 468 is associative
GCF of 466 and 468 = GCF of 468 and 466
1. What is the GCF of 466 and 468?
Answer: GCF of 466 and 468 is 2.
2. What are the Factors of 466?
Answer: Factors of 466 are 1, 2, 233, 466. There are 4 integers that are factors of 466. The greatest factor of 466 is 466.
3. What are the Factors of 468?
Answer: Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. There are 18 integers that are factors of 468. The greatest factor of 468 is 468.
4. How to Find the GCF of 466 and 468?
Answer:
Greatest Common Factor of 466 and 468 = 2
Step 1: Find the prime factorization of 466
466 = 2 x 233
Step 2: Find the prime factorization of 468
468 = 2 x 2 x 3 x 3 x 13
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 466 and 468 is 2