Greatest Common Factor of 8472 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 8472, 8478 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8472 and 8478 is 6.

GCF(8472,8478) = 6

GCF of 8472 and 8478

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

GCF of:
and

Greatest Common Factor of 8472 and 8478

GCF of 8472 and 8478 is 6

Prime Factorization of 8472


2 8472
2 4236
2 2118
3 1059
353 353
1

Prime factors of 8472 are 2,3,353. Prime factorization of 8472 in exponential form is:

8472 = 23×31×3531

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 8472 and 8478 is 6

Greatest Common Factor of 8472 and 8478 by matching factors method

Factors of 8472

List of positive integer factors of 8472 that divides 8472 without a remainder.

1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472

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 8472 and 8478. The biggest common factor number is the GCF number.
So the greatest common factor 8472 and 8478 is 6.

Also check out the Least Common Multiple of 8472 and 8478

Properties of GCF 8472 and 8478

(i) The GCF of 8472 and 8478 is associative

GCF of 8472 and 8478 = GCF of 8478 and 8472

Related Greatest Common Factor of 8472

Related Greatest Common Factor of 8478

Frequently Asked Questions on GCF of 8472 and 8478

1. What is the GCF of 8472 and 8478?

Answer: GCF of 8472 and 8478 is 6.

2. What are the Factors of 8472?

Answer: Factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472. There are 16 integers that are factors of 8472. The greatest factor of 8472 is 8472.

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 8472 and 8478?

Answer:

Greatest Common Factor of 8472 and 8478 = 6

Step 1: Find the prime factorization of 8472

8472 = 2 x 2 x 2 x 3 x 353

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 8472 and 8478 is 6