Greatest Common Factor of 7365 and 7370

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 7365, 7370 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7365 and 7370 is 5.

GCF(7365,7370) = 5

GCF of 7365 and 7370

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

GCF of:
and

Greatest Common Factor of 7365 and 7370

GCF of 7365 and 7370 is 5

Prime Factorization of 7365


3 7365
5 2455
491 491
1

Prime factors of 7365 are 3,5,491. Prime factorization of 7365 in exponential form is:

7365 = 31×51×4911

Prime Factorization of 7370


2 7370
5 3685
11 737
67 67
1

Prime factors of 7370 are 2,5,11,67. Prime factorization of 7370 in exponential form is:

7370 = 21×51×111×671

∴ So by taking common prime factors GCF of 7365 and 7370 is 5

Greatest Common Factor of 7365 and 7370 by matching factors method

Factors of 7365

List of positive integer factors of 7365 that divides 7365 without a remainder.

1,3,5,15,491,1473,2455,7365

Factors of 7370

List of positive integer factors of 7370 that divides 7370 without a remainder.

1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370

Greatest Common Factor

We found the factors and prime factorization of 7365 and 7370. The biggest common factor number is the GCF number.
So the greatest common factor 7365 and 7370 is 5.

Also check out the Least Common Multiple of 7365 and 7370

Properties of GCF 7365 and 7370

(i) The GCF of 7365 and 7370 is associative

GCF of 7365 and 7370 = GCF of 7370 and 7365

Related Greatest Common Factor of 7365

Related Greatest Common Factor of 7370

Frequently Asked Questions on GCF of 7365 and 7370

1. What is the GCF of 7365 and 7370?

Answer: GCF of 7365 and 7370 is 5.

2. What are the Factors of 7365?

Answer: Factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365. There are 8 integers that are factors of 7365. The greatest factor of 7365 is 7365.

3. What are the Factors of 7370?

Answer: Factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370. There are 16 integers that are factors of 7370. The greatest factor of 7370 is 7370.

4. How to Find the GCF of 7365 and 7370?

Answer:

Greatest Common Factor of 7365 and 7370 = 5

Step 1: Find the prime factorization of 7365

7365 = 3 x 5 x 491

Step 2: Find the prime factorization of 7370

7370 = 2 x 5 x 11 x 67

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7365 and 7370 is 5