Greatest Common Factor of 8380 and 8384

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 8380, 8384 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8380 and 8384 is 4.

GCF(8380,8384) = 4

GCF of 8380 and 8384

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

GCF of:
and

Greatest Common Factor of 8380 and 8384

GCF of 8380 and 8384 is 4

Prime Factorization of 8380


2 8380
2 4190
5 2095
419 419
1

Prime factors of 8380 are 2,5,419. Prime factorization of 8380 in exponential form is:

8380 = 22×51×4191

Prime Factorization of 8384


2 8384
2 4192
2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:

8384 = 26×1311

∴ So by taking common prime factors GCF of 8380 and 8384 is 4

Greatest Common Factor of 8380 and 8384 by matching factors method

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1,2,4,5,10,20,419,838,1676,2095,4190,8380

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Greatest Common Factor

We found the factors and prime factorization of 8380 and 8384. The biggest common factor number is the GCF number.
So the greatest common factor 8380 and 8384 is 4.

Also check out the Least Common Multiple of 8380 and 8384

Properties of GCF 8380 and 8384

(i) The GCF of 8380 and 8384 is associative

GCF of 8380 and 8384 = GCF of 8384 and 8380

Related Greatest Common Factor of 8380

Related Greatest Common Factor of 8384

Frequently Asked Questions on GCF of 8380 and 8384

1. What is the GCF of 8380 and 8384?

Answer: GCF of 8380 and 8384 is 4.

2. What are the Factors of 8380?

Answer: Factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380. There are 12 integers that are factors of 8380. The greatest factor of 8380 is 8380.

3. What are the Factors of 8384?

Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.

4. How to Find the GCF of 8380 and 8384?

Answer:

Greatest Common Factor of 8380 and 8384 = 4

Step 1: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

Step 2: Find the prime factorization of 8384

8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131

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 8380 and 8384 is 4