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 7466, 7471 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7466 and 7471 is 1.
GCF(7466,7471) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7466
2 | 7466 |
3733 | 3733 |
1 |
Prime factors of 7466 are 2,3733. Prime factorization of 7466 in exponential form is:
7466 = 21×37331
Prime Factorization of 7471
31 | 7471 |
241 | 241 |
1 |
Prime factors of 7471 are 31,241. Prime factorization of 7471 in exponential form is:
7471 = 311×2411
∴ So by taking common prime factors GCF of 7466 and 7471 is 1
Factors of 7466
List of positive integer factors of 7466 that divides 7466 without a remainder.
1,2,3733,7466
Factors of 7471
List of positive integer factors of 7471 that divides 7471 without a remainder.
1,31,241,7471
Greatest Common Factor
We found the factors and prime factorization of 7466 and 7471. The biggest common factor number is the GCF number.
So the greatest common factor 7466 and 7471 is 1.
Also check out the Least Common Multiple of 7466 and 7471
(i) The GCF of 7466 and 7471 is associative
GCF of 7466 and 7471 = GCF of 7471 and 7466
1. What is the GCF of 7466 and 7471?
Answer: GCF of 7466 and 7471 is 1.
2. What are the Factors of 7466?
Answer: Factors of 7466 are 1, 2, 3733, 7466. There are 4 integers that are factors of 7466. The greatest factor of 7466 is 7466.
3. What are the Factors of 7471?
Answer: Factors of 7471 are 1, 31, 241, 7471. There are 4 integers that are factors of 7471. The greatest factor of 7471 is 7471.
4. How to Find the GCF of 7466 and 7471?
Answer:
Greatest Common Factor of 7466 and 7471 = 1
Step 1: Find the prime factorization of 7466
7466 = 2 x 3733
Step 2: Find the prime factorization of 7471
7471 = 31 x 241
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 7466 and 7471 is 1