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 4475, 4482 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4475 and 4482 is 1.
GCF(4475,4482) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4475
5 | 4475 |
5 | 895 |
179 | 179 |
1 |
Prime factors of 4475 are 5,179. Prime factorization of 4475 in exponential form is:
4475 = 52×1791
Prime Factorization of 4482
2 | 4482 |
3 | 2241 |
3 | 747 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 4482 are 2,3,83. Prime factorization of 4482 in exponential form is:
4482 = 21×33×831
∴ So by taking common prime factors GCF of 4475 and 4482 is 1
Factors of 4475
List of positive integer factors of 4475 that divides 4475 without a remainder.
1,5,25,179,895,4475
Factors of 4482
List of positive integer factors of 4482 that divides 4482 without a remainder.
1,2,3,6,9,18,27,54,83,166,249,498,747,1494,2241,4482
Greatest Common Factor
We found the factors and prime factorization of 4475 and 4482. The biggest common factor number is the GCF number.
So the greatest common factor 4475 and 4482 is 1.
Also check out the Least Common Multiple of 4475 and 4482
(i) The GCF of 4475 and 4482 is associative
GCF of 4475 and 4482 = GCF of 4482 and 4475
1. What is the GCF of 4475 and 4482?
Answer: GCF of 4475 and 4482 is 1.
2. What are the Factors of 4475?
Answer: Factors of 4475 are 1, 5, 25, 179, 895, 4475. There are 6 integers that are factors of 4475. The greatest factor of 4475 is 4475.
3. What are the Factors of 4482?
Answer: Factors of 4482 are 1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482. There are 16 integers that are factors of 4482. The greatest factor of 4482 is 4482.
4. How to Find the GCF of 4475 and 4482?
Answer:
Greatest Common Factor of 4475 and 4482 = 1
Step 1: Find the prime factorization of 4475
4475 = 5 x 5 x 179
Step 2: Find the prime factorization of 4482
4482 = 2 x 3 x 3 x 3 x 83
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 4475 and 4482 is 1