Greatest Common Factor of 360 and 792

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, 792 i.e. 72 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 360 and 792 is 72.

GCF(360,792) = 72

GCF of 360 and 792

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

GCF of:
and

Greatest Common Factor of 360 and 792

GCF of 360 and 792 is 72

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 792


2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 792 are 2,3,11. Prime factorization of 792 in exponential form is:

792 = 23×32×111

∴ So by taking common prime factors GCF of 360 and 792 is 72

Greatest Common Factor of 360 and 792 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 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors and prime factorization of 360 and 792. The biggest common factor number is the GCF number.
So the greatest common factor 360 and 792 is 72.

Also check out the Least Common Multiple of 360 and 792

Properties of GCF 360 and 792

(i) The GCF of 360 and 792 is associative

GCF of 360 and 792 = GCF of 792 and 360

Related Greatest Common Factor of 360

Related Greatest Common Factor of 792

Frequently Asked Questions on GCF of 360 and 792

1. What is the GCF of 360 and 792?

Answer: GCF of 360 and 792 is 72.

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 792?

Answer: Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. There are 24 integers that are factors of 792. The greatest factor of 792 is 792.

4. How to Find the GCF of 360 and 792?

Answer:

Greatest Common Factor of 360 and 792 = 72

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 792

792 = 2 x 2 x 2 x 3 x 3 x 11

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

GCF = 2 x 2 x 2 x 3 x 3 = 72

Step 4: Therefore, the greatest common factor of 360 and 792 is 72