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 1466, 1473 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1466 and 1473 is 1.
GCF(1466,1473) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1466
2 | 1466 |
733 | 733 |
1 |
Prime factors of 1466 are 2,733. Prime factorization of 1466 in exponential form is:
1466 = 21×7331
Prime Factorization of 1473
3 | 1473 |
491 | 491 |
1 |
Prime factors of 1473 are 3,491. Prime factorization of 1473 in exponential form is:
1473 = 31×4911
∴ So by taking common prime factors GCF of 1466 and 1473 is 1
Factors of 1466
List of positive integer factors of 1466 that divides 1466 without a remainder.
1,2,733,1466
Factors of 1473
List of positive integer factors of 1473 that divides 1473 without a remainder.
1,3,491,1473
Greatest Common Factor
We found the factors and prime factorization of 1466 and 1473. The biggest common factor number is the GCF number.
So the greatest common factor 1466 and 1473 is 1.
Also check out the Least Common Multiple of 1466 and 1473
(i) The GCF of 1466 and 1473 is associative
GCF of 1466 and 1473 = GCF of 1473 and 1466
1. What is the GCF of 1466 and 1473?
Answer: GCF of 1466 and 1473 is 1.
2. What are the Factors of 1466?
Answer: Factors of 1466 are 1, 2, 733, 1466. There are 4 integers that are factors of 1466. The greatest factor of 1466 is 1466.
3. What are the Factors of 1473?
Answer: Factors of 1473 are 1, 3, 491, 1473. There are 4 integers that are factors of 1473. The greatest factor of 1473 is 1473.
4. How to Find the GCF of 1466 and 1473?
Answer:
Greatest Common Factor of 1466 and 1473 = 1
Step 1: Find the prime factorization of 1466
1466 = 2 x 733
Step 2: Find the prime factorization of 1473
1473 = 3 x 491
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 1466 and 1473 is 1