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, 1483 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1475 and 1483 is 1.
GCF(1475,1483) = 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 1483
1483 | 1483 |
1 |
Prime factors of 1483 are 1483. Prime factorization of 1483 in exponential form is:
1483 = 14831
∴ So by taking common prime factors GCF of 1475 and 1483 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 1483
List of positive integer factors of 1483 that divides 1483 without a remainder.
1,1483
Greatest Common Factor
We found the factors and prime factorization of 1475 and 1483. The biggest common factor number is the GCF number.
So the greatest common factor 1475 and 1483 is 1.
Also check out the Least Common Multiple of 1475 and 1483
(i) The GCF of 1475 and 1483 is associative
GCF of 1475 and 1483 = GCF of 1483 and 1475
1. What is the GCF of 1475 and 1483?
Answer: GCF of 1475 and 1483 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 1483?
Answer: Factors of 1483 are 1, 1483. There are 2 integers that are factors of 1483. The greatest factor of 1483 is 1483.
4. How to Find the GCF of 1475 and 1483?
Answer:
Greatest Common Factor of 1475 and 1483 = 1
Step 1: Find the prime factorization of 1475
1475 = 5 x 5 x 59
Step 2: Find the prime factorization of 1483
1483 = 1483
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 1483 is 1