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 1475, 1482 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1475 and 1482 is 1.
GCF(1475,1482) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1475
5 | 1475 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 1475 are 5,59. Prime factorization of 1475 in exponential form is:
1475 = 52×591
Prime Factorization of 1482
2 | 1482 |
3 | 741 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 1482 are 2,3,13,19. Prime factorization of 1482 in exponential form is:
1482 = 21×31×131×191
∴ So by taking common prime factors GCF of 1475 and 1482 is 1
Factors of 1475
List of positive integer factors of 1475 that divides 1475 without a remainder.
1,5,25,59,295,1475
Factors of 1482
List of positive integer factors of 1482 that divides 1482 without a remainder.
1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482
Greatest Common Factor
We found the factors and prime factorization of 1475 and 1482. The biggest common factor number is the GCF number.
So the greatest common factor 1475 and 1482 is 1.
Also check out the Least Common Multiple of 1475 and 1482
(i) The GCF of 1475 and 1482 is associative
GCF of 1475 and 1482 = GCF of 1482 and 1475
1. What is the GCF of 1475 and 1482?
Answer: GCF of 1475 and 1482 is 1.
2. What are the Factors of 1475?
Answer: Factors of 1475 are 1, 5, 25, 59, 295, 1475. There are 6 integers that are factors of 1475. The greatest factor of 1475 is 1475.
3. What are the Factors of 1482?
Answer: Factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482. There are 16 integers that are factors of 1482. The greatest factor of 1482 is 1482.
4. How to Find the GCF of 1475 and 1482?
Answer:
Greatest Common Factor of 1475 and 1482 = 1
Step 1: Find the prime factorization of 1475
1475 = 5 x 5 x 59
Step 2: Find the prime factorization of 1482
1482 = 2 x 3 x 13 x 19
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 1475 and 1482 is 1