Greatest Common Factor of 7378 and 7384

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 7378, 7384 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7378 and 7384 is 2.

GCF(7378,7384) = 2

GCF of 7378 and 7384

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

GCF of:
and

Greatest Common Factor of 7378 and 7384

GCF of 7378 and 7384 is 2

Prime Factorization of 7378


2 7378
7 3689
17 527
31 31
1

Prime factors of 7378 are 2,7,17,31. Prime factorization of 7378 in exponential form is:

7378 = 21×71×171×311

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

∴ So by taking common prime factors GCF of 7378 and 7384 is 2

Greatest Common Factor of 7378 and 7384 by matching factors method

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378

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

Greatest Common Factor

We found the factors and prime factorization of 7378 and 7384. The biggest common factor number is the GCF number.
So the greatest common factor 7378 and 7384 is 2.

Also check out the Least Common Multiple of 7378 and 7384

Properties of GCF 7378 and 7384

(i) The GCF of 7378 and 7384 is associative

GCF of 7378 and 7384 = GCF of 7384 and 7378

Related Greatest Common Factor of 7378

Related Greatest Common Factor of 7384

Frequently Asked Questions on GCF of 7378 and 7384

1. What is the GCF of 7378 and 7384?

Answer: GCF of 7378 and 7384 is 2.

2. What are the Factors of 7378?

Answer: Factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378. There are 16 integers that are factors of 7378. The greatest factor of 7378 is 7378.

3. 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.

4. How to Find the GCF of 7378 and 7384?

Answer:

Greatest Common Factor of 7378 and 7384 = 2

Step 1: Find the prime factorization of 7378

7378 = 2 x 7 x 17 x 31

Step 2: Find the prime factorization of 7384

7384 = 2 x 2 x 2 x 13 x 71

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7378 and 7384 is 2