Greatest Common Factor of 2352 and 2360

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 2352, 2360 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2352 and 2360 is 8.

GCF(2352,2360) = 8

GCF of 2352 and 2360

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

GCF of:
and

Greatest Common Factor of 2352 and 2360

GCF of 2352 and 2360 is 8

Prime Factorization of 2352


2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 2352 are 2,3,7. Prime factorization of 2352 in exponential form is:

2352 = 24×31×72

Prime Factorization of 2360


2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 2360 are 2,5,59. Prime factorization of 2360 in exponential form is:

2360 = 23×51×591

∴ So by taking common prime factors GCF of 2352 and 2360 is 8

Greatest Common Factor of 2352 and 2360 by matching factors method

Factors of 2352

List of positive integer factors of 2352 that divides 2352 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,49,56,84,98,112,147,168,196,294,336,392,588,784,1176,2352

Factors of 2360

List of positive integer factors of 2360 that divides 2360 without a remainder.

1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360

Greatest Common Factor

We found the factors and prime factorization of 2352 and 2360. The biggest common factor number is the GCF number.
So the greatest common factor 2352 and 2360 is 8.

Also check out the Least Common Multiple of 2352 and 2360

Properties of GCF 2352 and 2360

(i) The GCF of 2352 and 2360 is associative

GCF of 2352 and 2360 = GCF of 2360 and 2352

Related Greatest Common Factor of 2352

Related Greatest Common Factor of 2360

Frequently Asked Questions on GCF of 2352 and 2360

1. What is the GCF of 2352 and 2360?

Answer: GCF of 2352 and 2360 is 8.

2. What are the Factors of 2352?

Answer: Factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352. There are 30 integers that are factors of 2352. The greatest factor of 2352 is 2352.

3. What are the Factors of 2360?

Answer: Factors of 2360 are 1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360. There are 16 integers that are factors of 2360. The greatest factor of 2360 is 2360.

4. How to Find the GCF of 2352 and 2360?

Answer:

Greatest Common Factor of 2352 and 2360 = 8

Step 1: Find the prime factorization of 2352

2352 = 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 2360

2360 = 2 x 2 x 2 x 5 x 59

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 = 8

Step 4: Therefore, the greatest common factor of 2352 and 2360 is 8