Greatest Common Factor of 4471 and 4478

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

GCF of 4471 and 4478

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4471 and 4478

GCF of 4471 and 4478 is 1

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

Greatest Common Factor of 4471 and 4478 by matching factors method

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

Properties of GCF 4471 and 4478

(i) The GCF of 4471 and 4478 is associative

GCF of 4471 and 4478 = GCF of 4478 and 4471

Frequently Asked Questions on GCF of 4471 and 4478

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