Greatest Common Factor of 358 and 360

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 358, 360 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 358 and 360 is 2.

GCF(358,360) = 2

GCF of 358 and 360

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

GCF of:
and

Greatest Common Factor of 358 and 360

GCF of 358 and 360 is 2

Prime Factorization of 358


2 358
179 179
1

Prime factors of 358 are 2,179. Prime factorization of 358 in exponential form is:

358 = 21×1791

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

∴ So by taking common prime factors GCF of 358 and 360 is 2

Greatest Common Factor of 358 and 360 by matching factors method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

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

Greatest Common Factor

We found the factors and prime factorization of 358 and 360. The biggest common factor number is the GCF number.
So the greatest common factor 358 and 360 is 2.

Also check out the Least Common Multiple of 358 and 360

Properties of GCF 358 and 360

(i) The GCF of 358 and 360 is associative

GCF of 358 and 360 = GCF of 360 and 358

Related Greatest Common Factor of 358

Related Greatest Common Factor of 360

Frequently Asked Questions on GCF of 358 and 360

1. What is the GCF of 358 and 360?

Answer: GCF of 358 and 360 is 2.

2. What are the Factors of 358?

Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.

3. 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.

4. How to Find the GCF of 358 and 360?

Answer:

Greatest Common Factor of 358 and 360 = 2

Step 1: Find the prime factorization of 358

358 = 2 x 179

Step 2: Find the prime factorization of 360

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 358 and 360 is 2