Greatest Common Factor of 8478 and 8481

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 8478, 8481 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8478 and 8481 is 3.

GCF(8478,8481) = 3

GCF of 8478 and 8481

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

GCF of:
and

Greatest Common Factor of 8478 and 8481

GCF of 8478 and 8481 is 3

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

Prime Factorization of 8481


3 8481
11 2827
257 257
1

Prime factors of 8481 are 3,11,257. Prime factorization of 8481 in exponential form is:

8481 = 31×111×2571

∴ So by taking common prime factors GCF of 8478 and 8481 is 3

Greatest Common Factor of 8478 and 8481 by matching factors method

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

Factors of 8481

List of positive integer factors of 8481 that divides 8481 without a remainder.

1,3,11,33,257,771,2827,8481

Greatest Common Factor

We found the factors and prime factorization of 8478 and 8481. The biggest common factor number is the GCF number.
So the greatest common factor 8478 and 8481 is 3.

Also check out the Least Common Multiple of 8478 and 8481

Properties of GCF 8478 and 8481

(i) The GCF of 8478 and 8481 is associative

GCF of 8478 and 8481 = GCF of 8481 and 8478

Related Greatest Common Factor of 8478

Related Greatest Common Factor of 8481

Frequently Asked Questions on GCF of 8478 and 8481

1. What is the GCF of 8478 and 8481?

Answer: GCF of 8478 and 8481 is 3.

2. 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.

3. What are the Factors of 8481?

Answer: Factors of 8481 are 1, 3, 11, 33, 257, 771, 2827, 8481. There are 8 integers that are factors of 8481. The greatest factor of 8481 is 8481.

4. How to Find the GCF of 8478 and 8481?

Answer:

Greatest Common Factor of 8478 and 8481 = 3

Step 1: Find the prime factorization of 8478

8478 = 2 x 3 x 3 x 3 x 157

Step 2: Find the prime factorization of 8481

8481 = 3 x 11 x 257

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8478 and 8481 is 3