Greatest Common Factor of 8471 and 8474

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 8471, 8474 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8471 and 8474 is 1.

GCF(8471,8474) = 1

GCF of 8471 and 8474

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

GCF of:
and

Greatest Common Factor of 8471 and 8474

GCF of 8471 and 8474 is 1

Prime Factorization of 8471


43 8471
197 197
1

Prime factors of 8471 are 43,197. Prime factorization of 8471 in exponential form is:

8471 = 431×1971

Prime Factorization of 8474


2 8474
19 4237
223 223
1

Prime factors of 8474 are 2,19,223. Prime factorization of 8474 in exponential form is:

8474 = 21×191×2231

∴ So by taking common prime factors GCF of 8471 and 8474 is 1

Greatest Common Factor of 8471 and 8474 by matching factors method

Factors of 8471

List of positive integer factors of 8471 that divides 8471 without a remainder.

1,43,197,8471

Factors of 8474

List of positive integer factors of 8474 that divides 8474 without a remainder.

1,2,19,38,223,446,4237,8474

Greatest Common Factor

We found the factors and prime factorization of 8471 and 8474. The biggest common factor number is the GCF number.
So the greatest common factor 8471 and 8474 is 1.

Also check out the Least Common Multiple of 8471 and 8474

Properties of GCF 8471 and 8474

(i) The GCF of 8471 and 8474 is associative

GCF of 8471 and 8474 = GCF of 8474 and 8471

Related Greatest Common Factor of 8471

Related Greatest Common Factor of 8474

Frequently Asked Questions on GCF of 8471 and 8474

1. What is the GCF of 8471 and 8474?

Answer: GCF of 8471 and 8474 is 1.

2. What are the Factors of 8471?

Answer: Factors of 8471 are 1, 43, 197, 8471. There are 4 integers that are factors of 8471. The greatest factor of 8471 is 8471.

3. What are the Factors of 8474?

Answer: Factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474. There are 8 integers that are factors of 8474. The greatest factor of 8474 is 8474.

4. How to Find the GCF of 8471 and 8474?

Answer:

Greatest Common Factor of 8471 and 8474 = 1

Step 1: Find the prime factorization of 8471

8471 = 43 x 197

Step 2: Find the prime factorization of 8474

8474 = 2 x 19 x 223

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 8471 and 8474 is 1