Greatest Common Factor of 8472 and 8476

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, 8476 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8472 and 8476 is 4.

GCF(8472,8476) = 4

GCF of 8472 and 8476

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

GCF of:
and

Greatest Common Factor of 8472 and 8476

GCF of 8472 and 8476 is 4

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 8476


2 8476
2 4238
13 2119
163 163
1

Prime factors of 8476 are 2,13,163. Prime factorization of 8476 in exponential form is:

8476 = 22×131×1631

∴ So by taking common prime factors GCF of 8472 and 8476 is 4

Greatest Common Factor of 8472 and 8476 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 8476

List of positive integer factors of 8476 that divides 8476 without a remainder.

1,2,4,13,26,52,163,326,652,2119,4238,8476

Greatest Common Factor

We found the factors and prime factorization of 8472 and 8476. The biggest common factor number is the GCF number.
So the greatest common factor 8472 and 8476 is 4.

Also check out the Least Common Multiple of 8472 and 8476

Properties of GCF 8472 and 8476

(i) The GCF of 8472 and 8476 is associative

GCF of 8472 and 8476 = GCF of 8476 and 8472

Related Greatest Common Factor of 8472

Related Greatest Common Factor of 8476

Frequently Asked Questions on GCF of 8472 and 8476

1. What is the GCF of 8472 and 8476?

Answer: GCF of 8472 and 8476 is 4.

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 8476?

Answer: Factors of 8476 are 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476. There are 12 integers that are factors of 8476. The greatest factor of 8476 is 8476.

4. How to Find the GCF of 8472 and 8476?

Answer:

Greatest Common Factor of 8472 and 8476 = 4

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 8476

8476 = 2 x 2 x 13 x 163

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8472 and 8476 is 4