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 483, 486 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 483 and 486 is 3.
GCF(483,486) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 483
3 | 483 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 483 are 3,7,23. Prime factorization of 483 in exponential form is:
483 = 31×71×231
Prime Factorization of 486
2 | 486 |
3 | 243 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:
486 = 21×35
∴ So by taking common prime factors GCF of 483 and 486 is 3
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors and prime factorization of 483 and 486. The biggest common factor number is the GCF number.
So the greatest common factor 483 and 486 is 3.
Also check out the Least Common Multiple of 483 and 486
(i) The GCF of 483 and 486 is associative
GCF of 483 and 486 = GCF of 486 and 483
1. What is the GCF of 483 and 486?
Answer: GCF of 483 and 486 is 3.
2. What are the Factors of 483?
Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.
3. What are the Factors of 486?
Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.
4. How to Find the GCF of 483 and 486?
Answer:
Greatest Common Factor of 483 and 486 = 3
Step 1: Find the prime factorization of 483
483 = 3 x 7 x 23
Step 2: Find the prime factorization of 486
486 = 2 x 3 x 3 x 3 x 3 x 3
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 483 and 486 is 3