Greatest Common Factor of 2352 and 2354

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, 2354 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2352 and 2354 is 2.

GCF(2352,2354) = 2

GCF of 2352 and 2354

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

GCF of:
and

Greatest Common Factor of 2352 and 2354

GCF of 2352 and 2354 is 2

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 2354


2 2354
11 1177
107 107
1

Prime factors of 2354 are 2,11,107. Prime factorization of 2354 in exponential form is:

2354 = 21×111×1071

∴ So by taking common prime factors GCF of 2352 and 2354 is 2

Greatest Common Factor of 2352 and 2354 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 2354

List of positive integer factors of 2354 that divides 2354 without a remainder.

1,2,11,22,107,214,1177,2354

Greatest Common Factor

We found the factors and prime factorization of 2352 and 2354. The biggest common factor number is the GCF number.
So the greatest common factor 2352 and 2354 is 2.

Also check out the Least Common Multiple of 2352 and 2354

Properties of GCF 2352 and 2354

(i) The GCF of 2352 and 2354 is associative

GCF of 2352 and 2354 = GCF of 2354 and 2352

Related Greatest Common Factor of 2352

Related Greatest Common Factor of 2354

Frequently Asked Questions on GCF of 2352 and 2354

1. What is the GCF of 2352 and 2354?

Answer: GCF of 2352 and 2354 is 2.

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 2354?

Answer: Factors of 2354 are 1, 2, 11, 22, 107, 214, 1177, 2354. There are 8 integers that are factors of 2354. The greatest factor of 2354 is 2354.

4. How to Find the GCF of 2352 and 2354?

Answer:

Greatest Common Factor of 2352 and 2354 = 2

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 2354

2354 = 2 x 11 x 107

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 2352 and 2354 is 2