Greatest Common Factor of 8474 and 8478

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 8474, 8478 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8474 and 8478 is 2.

GCF(8474,8478) = 2

GCF of 8474 and 8478

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

GCF of:
and

Greatest Common Factor of 8474 and 8478

GCF of 8474 and 8478 is 2

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

Prime Factorization of 8478


2 8478
3 4239
3 1413
3 471
157 157
1

Prime factors of 8478 are 2,3,157. Prime factorization of 8478 in exponential form is:

8478 = 21×33×1571

∴ So by taking common prime factors GCF of 8474 and 8478 is 2

Greatest Common Factor of 8474 and 8478 by matching factors method

Factors of 8474

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

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

Factors of 8478

List of positive integer factors of 8478 that divides 8478 without a remainder.

1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478

Greatest Common Factor

We found the factors and prime factorization of 8474 and 8478. The biggest common factor number is the GCF number.
So the greatest common factor 8474 and 8478 is 2.

Also check out the Least Common Multiple of 8474 and 8478

Properties of GCF 8474 and 8478

(i) The GCF of 8474 and 8478 is associative

GCF of 8474 and 8478 = GCF of 8478 and 8474

Related Greatest Common Factor of 8474

Related Greatest Common Factor of 8478

Frequently Asked Questions on GCF of 8474 and 8478

1. What is the GCF of 8474 and 8478?

Answer: GCF of 8474 and 8478 is 2.

2. 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.

3. What are the Factors of 8478?

Answer: Factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478. There are 16 integers that are factors of 8478. The greatest factor of 8478 is 8478.

4. How to Find the GCF of 8474 and 8478?

Answer:

Greatest Common Factor of 8474 and 8478 = 2

Step 1: Find the prime factorization of 8474

8474 = 2 x 19 x 223

Step 2: Find the prime factorization of 8478

8478 = 2 x 3 x 3 x 3 x 157

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 8474 and 8478 is 2