Greatest Common Factor of 7384 and 7388

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 7384, 7388 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7384 and 7388 is 4.

GCF(7384,7388) = 4

GCF of 7384 and 7388

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

GCF of:
and

Greatest Common Factor of 7384 and 7388

GCF of 7384 and 7388 is 4

Prime Factorization of 7384


2 7384
2 3692
2 1846
13 923
71 71
1

Prime factors of 7384 are 2,13,71. Prime factorization of 7384 in exponential form is:

7384 = 23×131×711

Prime Factorization of 7388


2 7388
2 3694
1847 1847
1

Prime factors of 7388 are 2,1847. Prime factorization of 7388 in exponential form is:

7388 = 22×18471

∴ So by taking common prime factors GCF of 7384 and 7388 is 4

Greatest Common Factor of 7384 and 7388 by matching factors method

Factors of 7384

List of positive integer factors of 7384 that divides 7384 without a remainder.

1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384

Factors of 7388

List of positive integer factors of 7388 that divides 7388 without a remainder.

1,2,4,1847,3694,7388

Greatest Common Factor

We found the factors and prime factorization of 7384 and 7388. The biggest common factor number is the GCF number.
So the greatest common factor 7384 and 7388 is 4.

Also check out the Least Common Multiple of 7384 and 7388

Properties of GCF 7384 and 7388

(i) The GCF of 7384 and 7388 is associative

GCF of 7384 and 7388 = GCF of 7388 and 7384

Related Greatest Common Factor of 7384

Related Greatest Common Factor of 7388

Frequently Asked Questions on GCF of 7384 and 7388

1. What is the GCF of 7384 and 7388?

Answer: GCF of 7384 and 7388 is 4.

2. What are the Factors of 7384?

Answer: Factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384. There are 16 integers that are factors of 7384. The greatest factor of 7384 is 7384.

3. What are the Factors of 7388?

Answer: Factors of 7388 are 1, 2, 4, 1847, 3694, 7388. There are 6 integers that are factors of 7388. The greatest factor of 7388 is 7388.

4. How to Find the GCF of 7384 and 7388?

Answer:

Greatest Common Factor of 7384 and 7388 = 4

Step 1: Find the prime factorization of 7384

7384 = 2 x 2 x 2 x 13 x 71

Step 2: Find the prime factorization of 7388

7388 = 2 x 2 x 1847

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 7384 and 7388 is 4