Greatest Common Factor of 8316 and 8324

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 8316, 8324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8316 and 8324 is 4.

GCF(8316,8324) = 4

GCF of 8316 and 8324

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

GCF of:
and

Greatest Common Factor of 8316 and 8324

GCF of 8316 and 8324 is 4

Prime Factorization of 8316


2 8316
2 4158
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 8316 are 2,3,7,11. Prime factorization of 8316 in exponential form is:

8316 = 22×33×71×111

Prime Factorization of 8324


2 8324
2 4162
2081 2081
1

Prime factors of 8324 are 2,2081. Prime factorization of 8324 in exponential form is:

8324 = 22×20811

∴ So by taking common prime factors GCF of 8316 and 8324 is 4

Greatest Common Factor of 8316 and 8324 by matching factors method

Factors of 8316

List of positive integer factors of 8316 that divides 8316 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316

Factors of 8324

List of positive integer factors of 8324 that divides 8324 without a remainder.

1,2,4,2081,4162,8324

Greatest Common Factor

We found the factors and prime factorization of 8316 and 8324. The biggest common factor number is the GCF number.
So the greatest common factor 8316 and 8324 is 4.

Also check out the Least Common Multiple of 8316 and 8324

Properties of GCF 8316 and 8324

(i) The GCF of 8316 and 8324 is associative

GCF of 8316 and 8324 = GCF of 8324 and 8316

Related Greatest Common Factor of 8316

Related Greatest Common Factor of 8324

Frequently Asked Questions on GCF of 8316 and 8324

1. What is the GCF of 8316 and 8324?

Answer: GCF of 8316 and 8324 is 4.

2. What are the Factors of 8316?

Answer: Factors of 8316 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316. There are 48 integers that are factors of 8316. The greatest factor of 8316 is 8316.

3. What are the Factors of 8324?

Answer: Factors of 8324 are 1, 2, 4, 2081, 4162, 8324. There are 6 integers that are factors of 8324. The greatest factor of 8324 is 8324.

4. How to Find the GCF of 8316 and 8324?

Answer:

Greatest Common Factor of 8316 and 8324 = 4

Step 1: Find the prime factorization of 8316

8316 = 2 x 2 x 3 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 8324

8324 = 2 x 2 x 2081

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 8316 and 8324 is 4