Greatest Common Factor of 7382 and 7390

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 7382, 7390 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7382 and 7390 is 2.

GCF(7382,7390) = 2

GCF of 7382 and 7390

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

GCF of:
and

Greatest Common Factor of 7382 and 7390

GCF of 7382 and 7390 is 2

Prime Factorization of 7382


2 7382
3691 3691
1

Prime factors of 7382 are 2,3691. Prime factorization of 7382 in exponential form is:

7382 = 21×36911

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

∴ So by taking common prime factors GCF of 7382 and 7390 is 2

Greatest Common Factor of 7382 and 7390 by matching factors method

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Factors of 7390

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

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

Greatest Common Factor

We found the factors and prime factorization of 7382 and 7390. The biggest common factor number is the GCF number.
So the greatest common factor 7382 and 7390 is 2.

Also check out the Least Common Multiple of 7382 and 7390

Properties of GCF 7382 and 7390

(i) The GCF of 7382 and 7390 is associative

GCF of 7382 and 7390 = GCF of 7390 and 7382

Related Greatest Common Factor of 7382

Related Greatest Common Factor of 7390

Frequently Asked Questions on GCF of 7382 and 7390

1. What is the GCF of 7382 and 7390?

Answer: GCF of 7382 and 7390 is 2.

2. What are the Factors of 7382?

Answer: Factors of 7382 are 1, 2, 3691, 7382. There are 4 integers that are factors of 7382. The greatest factor of 7382 is 7382.

3. 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.

4. How to Find the GCF of 7382 and 7390?

Answer:

Greatest Common Factor of 7382 and 7390 = 2

Step 1: Find the prime factorization of 7382

7382 = 2 x 3691

Step 2: Find the prime factorization of 7390

7390 = 2 x 5 x 739

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 7382 and 7390 is 2