Greatest Common Factor of 2345 and 2352

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 2345, 2352 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2345 and 2352 is 7.

GCF(2345,2352) = 7

GCF of 2345 and 2352

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

GCF of:
and

Greatest Common Factor of 2345 and 2352

GCF of 2345 and 2352 is 7

Prime Factorization of 2345


5 2345
7 469
67 67
1

Prime factors of 2345 are 5,7,67. Prime factorization of 2345 in exponential form is:

2345 = 51×71×671

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

∴ So by taking common prime factors GCF of 2345 and 2352 is 7

Greatest Common Factor of 2345 and 2352 by matching factors method

Factors of 2345

List of positive integer factors of 2345 that divides 2345 without a remainder.

1,5,7,35,67,335,469,2345

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

Greatest Common Factor

We found the factors and prime factorization of 2345 and 2352. The biggest common factor number is the GCF number.
So the greatest common factor 2345 and 2352 is 7.

Also check out the Least Common Multiple of 2345 and 2352

Properties of GCF 2345 and 2352

(i) The GCF of 2345 and 2352 is associative

GCF of 2345 and 2352 = GCF of 2352 and 2345

Related Greatest Common Factor of 2345

Related Greatest Common Factor of 2352

Frequently Asked Questions on GCF of 2345 and 2352

1. What is the GCF of 2345 and 2352?

Answer: GCF of 2345 and 2352 is 7.

2. What are the Factors of 2345?

Answer: Factors of 2345 are 1, 5, 7, 35, 67, 335, 469, 2345. There are 8 integers that are factors of 2345. The greatest factor of 2345 is 2345.

3. 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.

4. How to Find the GCF of 2345 and 2352?

Answer:

Greatest Common Factor of 2345 and 2352 = 7

Step 1: Find the prime factorization of 2345

2345 = 5 x 7 x 67

Step 2: Find the prime factorization of 2352

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

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2345 and 2352 is 7