Greatest Common Factor of 7360 and 7364

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, 7364 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7360 and 7364 is 4.

GCF(7360,7364) = 4

GCF of 7360 and 7364

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

GCF of:
and

Greatest Common Factor of 7360 and 7364

GCF of 7360 and 7364 is 4

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 7364


2 7364
2 3682
7 1841
263 263
1

Prime factors of 7364 are 2,7,263. Prime factorization of 7364 in exponential form is:

7364 = 22×71×2631

∴ So by taking common prime factors GCF of 7360 and 7364 is 4

Greatest Common Factor of 7360 and 7364 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 7364

List of positive integer factors of 7364 that divides 7364 without a remainder.

1,2,4,7,14,28,263,526,1052,1841,3682,7364

Greatest Common Factor

We found the factors and prime factorization of 7360 and 7364. The biggest common factor number is the GCF number.
So the greatest common factor 7360 and 7364 is 4.

Also check out the Least Common Multiple of 7360 and 7364

Properties of GCF 7360 and 7364

(i) The GCF of 7360 and 7364 is associative

GCF of 7360 and 7364 = GCF of 7364 and 7360

Related Greatest Common Factor of 7360

Related Greatest Common Factor of 7364

Frequently Asked Questions on GCF of 7360 and 7364

1. What is the GCF of 7360 and 7364?

Answer: GCF of 7360 and 7364 is 4.

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 7364?

Answer: Factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. There are 12 integers that are factors of 7364. The greatest factor of 7364 is 7364.

4. How to Find the GCF of 7360 and 7364?

Answer:

Greatest Common Factor of 7360 and 7364 = 4

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 7364

7364 = 2 x 2 x 7 x 263

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7360 and 7364 is 4