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 4471, 4478 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4471 and 4478 is 1.
GCF(4471,4478) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4471
17 | 4471 |
263 | 263 |
1 |
Prime factors of 4471 are 17,263. Prime factorization of 4471 in exponential form is:
4471 = 171×2631
Prime Factorization of 4478
2 | 4478 |
2239 | 2239 |
1 |
Prime factors of 4478 are 2,2239. Prime factorization of 4478 in exponential form is:
4478 = 21×22391
∴ So by taking common prime factors GCF of 4471 and 4478 is 1
Factors of 4471
List of positive integer factors of 4471 that divides 4471 without a remainder.
1,17,263,4471
Factors of 4478
List of positive integer factors of 4478 that divides 4478 without a remainder.
1,2,2239,4478
Greatest Common Factor
We found the factors and prime factorization of 4471 and 4478. The biggest common factor number is the GCF number.
So the greatest common factor 4471 and 4478 is 1.
Also check out the Least Common Multiple of 4471 and 4478
(i) The GCF of 4471 and 4478 is associative
GCF of 4471 and 4478 = GCF of 4478 and 4471
1. What is the GCF of 4471 and 4478?
Answer: GCF of 4471 and 4478 is 1.
2. What are the Factors of 4471?
Answer: Factors of 4471 are 1, 17, 263, 4471. There are 4 integers that are factors of 4471. The greatest factor of 4471 is 4471.
3. What are the Factors of 4478?
Answer: Factors of 4478 are 1, 2, 2239, 4478. There are 4 integers that are factors of 4478. The greatest factor of 4478 is 4478.
4. How to Find the GCF of 4471 and 4478?
Answer:
Greatest Common Factor of 4471 and 4478 = 1
Step 1: Find the prime factorization of 4471
4471 = 17 x 263
Step 2: Find the prime factorization of 4478
4478 = 2 x 2239
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 4471 and 4478 is 1