Greatest Common Factor of 7355 and 7360

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 7355, 7360 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7355 and 7360 is 5.

GCF(7355,7360) = 5

GCF of 7355 and 7360

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

GCF of:
and

Greatest Common Factor of 7355 and 7360

GCF of 7355 and 7360 is 5

Prime Factorization of 7355


5 7355
1471 1471
1

Prime factors of 7355 are 5,1471. Prime factorization of 7355 in exponential form is:

7355 = 51×14711

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

∴ So by taking common prime factors GCF of 7355 and 7360 is 5

Greatest Common Factor of 7355 and 7360 by matching factors method

Factors of 7355

List of positive integer factors of 7355 that divides 7355 without a remainder.

1,5,1471,7355

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

Greatest Common Factor

We found the factors and prime factorization of 7355 and 7360. The biggest common factor number is the GCF number.
So the greatest common factor 7355 and 7360 is 5.

Also check out the Least Common Multiple of 7355 and 7360

Properties of GCF 7355 and 7360

(i) The GCF of 7355 and 7360 is associative

GCF of 7355 and 7360 = GCF of 7360 and 7355

Related Greatest Common Factor of 7355

Related Greatest Common Factor of 7360

Frequently Asked Questions on GCF of 7355 and 7360

1. What is the GCF of 7355 and 7360?

Answer: GCF of 7355 and 7360 is 5.

2. What are the Factors of 7355?

Answer: Factors of 7355 are 1, 5, 1471, 7355. There are 4 integers that are factors of 7355. The greatest factor of 7355 is 7355.

3. 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.

4. How to Find the GCF of 7355 and 7360?

Answer:

Greatest Common Factor of 7355 and 7360 = 5

Step 1: Find the prime factorization of 7355

7355 = 5 x 1471

Step 2: Find the prime factorization of 7360

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

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 7355 and 7360 is 5