Greatest Common Factor of 7390 and 7398

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 7390, 7398 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7390 and 7398 is 2.

GCF(7390,7398) = 2

GCF of 7390 and 7398

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

GCF of:
and

Greatest Common Factor of 7390 and 7398

GCF of 7390 and 7398 is 2

Prime Factorization of 7390


2 7390
5 3695
739 739
1

Prime factors of 7390 are 2,5,739. Prime factorization of 7390 in exponential form is:

7390 = 21×51×7391

Prime Factorization of 7398


2 7398
3 3699
3 1233
3 411
137 137
1

Prime factors of 7398 are 2,3,137. Prime factorization of 7398 in exponential form is:

7398 = 21×33×1371

∴ So by taking common prime factors GCF of 7390 and 7398 is 2

Greatest Common Factor of 7390 and 7398 by matching factors method

Factors of 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1,2,5,10,739,1478,3695,7390

Factors of 7398

List of positive integer factors of 7398 that divides 7398 without a remainder.

1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398

Greatest Common Factor

We found the factors and prime factorization of 7390 and 7398. The biggest common factor number is the GCF number.
So the greatest common factor 7390 and 7398 is 2.

Also check out the Least Common Multiple of 7390 and 7398

Properties of GCF 7390 and 7398

(i) The GCF of 7390 and 7398 is associative

GCF of 7390 and 7398 = GCF of 7398 and 7390

Related Greatest Common Factor of 7390

Related Greatest Common Factor of 7398

Frequently Asked Questions on GCF of 7390 and 7398

1. What is the GCF of 7390 and 7398?

Answer: GCF of 7390 and 7398 is 2.

2. What are the Factors of 7390?

Answer: Factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390. There are 8 integers that are factors of 7390. The greatest factor of 7390 is 7390.

3. What are the Factors of 7398?

Answer: Factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398. There are 16 integers that are factors of 7398. The greatest factor of 7398 is 7398.

4. How to Find the GCF of 7390 and 7398?

Answer:

Greatest Common Factor of 7390 and 7398 = 2

Step 1: Find the prime factorization of 7390

7390 = 2 x 5 x 739

Step 2: Find the prime factorization of 7398

7398 = 2 x 3 x 3 x 3 x 137

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 7390 and 7398 is 2