Greatest Common Factor of 7360 and 7365

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 7360, 7365 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7360 and 7365 is 5.

GCF(7360,7365) = 5

GCF of 7360 and 7365

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

GCF of:
and

Greatest Common Factor of 7360 and 7365

GCF of 7360 and 7365 is 5

Prime Factorization of 7360


2 7360
2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 7360 are 2,5,23. Prime factorization of 7360 in exponential form is:

7360 = 26×51×231

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

∴ So by taking common prime factors GCF of 7360 and 7365 is 5

Greatest Common Factor of 7360 and 7365 by matching factors method

Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360

Factors of 7365

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

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

Greatest Common Factor

We found the factors and prime factorization of 7360 and 7365. The biggest common factor number is the GCF number.
So the greatest common factor 7360 and 7365 is 5.

Also check out the Least Common Multiple of 7360 and 7365

Properties of GCF 7360 and 7365

(i) The GCF of 7360 and 7365 is associative

GCF of 7360 and 7365 = GCF of 7365 and 7360

Related Greatest Common Factor of 7360

Related Greatest Common Factor of 7365

Frequently Asked Questions on GCF of 7360 and 7365

1. What is the GCF of 7360 and 7365?

Answer: GCF of 7360 and 7365 is 5.

2. What are the Factors of 7360?

Answer: Factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360. There are 28 integers that are factors of 7360. The greatest factor of 7360 is 7360.

3. 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.

4. How to Find the GCF of 7360 and 7365?

Answer:

Greatest Common Factor of 7360 and 7365 = 5

Step 1: Find the prime factorization of 7360

7360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 7365

7365 = 3 x 5 x 491

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 7360 and 7365 is 5