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, 488 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 483 and 488 is 1.
GCF(483,488) = 1
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 488
2 | 488 |
2 | 244 |
2 | 122 |
61 | 61 |
1 |
Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:
488 = 23×611
∴ So by taking common prime factors GCF of 483 and 488 is 1
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 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors and prime factorization of 483 and 488. The biggest common factor number is the GCF number.
So the greatest common factor 483 and 488 is 1.
Also check out the Least Common Multiple of 483 and 488
(i) The GCF of 483 and 488 is associative
GCF of 483 and 488 = GCF of 488 and 483
1. What is the GCF of 483 and 488?
Answer: GCF of 483 and 488 is 1.
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 488?
Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.
4. How to Find the GCF of 483 and 488?
Answer:
Greatest Common Factor of 483 and 488 = 1
Step 1: Find the prime factorization of 483
483 = 3 x 7 x 23
Step 2: Find the prime factorization of 488
488 = 2 x 2 x 2 x 61
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 483 and 488 is 1