Greatest Common Factor of 360 and 366

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 360, 366 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 360 and 366 is 6.

GCF(360,366) = 6

GCF of 360 and 366

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

GCF of:
and

Greatest Common Factor of 360 and 366

GCF of 360 and 366 is 6

Prime Factorization of 360


2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 360 are 2,3,5. Prime factorization of 360 in exponential form is:

360 = 23×32×51

Prime Factorization of 366


2 366
3 183
61 61
1

Prime factors of 366 are 2,3,61. Prime factorization of 366 in exponential form is:

366 = 21×31×611

∴ So by taking common prime factors GCF of 360 and 366 is 6

Greatest Common Factor of 360 and 366 by matching factors method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors and prime factorization of 360 and 366. The biggest common factor number is the GCF number.
So the greatest common factor 360 and 366 is 6.

Also check out the Least Common Multiple of 360 and 366

Properties of GCF 360 and 366

(i) The GCF of 360 and 366 is associative

GCF of 360 and 366 = GCF of 366 and 360

Related Greatest Common Factor of 360

Related Greatest Common Factor of 366

Frequently Asked Questions on GCF of 360 and 366

1. What is the GCF of 360 and 366?

Answer: GCF of 360 and 366 is 6.

2. What are the Factors of 360?

Answer: Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. There are 24 integers that are factors of 360. The greatest factor of 360 is 360.

3. What are the Factors of 366?

Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.

4. How to Find the GCF of 360 and 366?

Answer:

Greatest Common Factor of 360 and 366 = 6

Step 1: Find the prime factorization of 360

360 = 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 366

366 = 2 x 3 x 61

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 360 and 366 is 6