Greatest Common Factor of 4338 and 4346

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 4338, 4346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4338 and 4346 is 2.

GCF(4338,4346) = 2

GCF of 4338 and 4346

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

GCF of:
and

Greatest Common Factor of 4338 and 4346

GCF of 4338 and 4346 is 2

Prime Factorization of 4338


2 4338
3 2169
3 723
241 241
1

Prime factors of 4338 are 2,3,241. Prime factorization of 4338 in exponential form is:

4338 = 21×32×2411

Prime Factorization of 4346


2 4346
41 2173
53 53
1

Prime factors of 4346 are 2,41,53. Prime factorization of 4346 in exponential form is:

4346 = 21×411×531

∴ So by taking common prime factors GCF of 4338 and 4346 is 2

Greatest Common Factor of 4338 and 4346 by matching factors method

Factors of 4338

List of positive integer factors of 4338 that divides 4338 without a remainder.

1,2,3,6,9,18,241,482,723,1446,2169,4338

Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1,2,41,53,82,106,2173,4346

Greatest Common Factor

We found the factors and prime factorization of 4338 and 4346. The biggest common factor number is the GCF number.
So the greatest common factor 4338 and 4346 is 2.

Also check out the Least Common Multiple of 4338 and 4346

Properties of GCF 4338 and 4346

(i) The GCF of 4338 and 4346 is associative

GCF of 4338 and 4346 = GCF of 4346 and 4338

Related Greatest Common Factor of 4338

Related Greatest Common Factor of 4346

Frequently Asked Questions on GCF of 4338 and 4346

1. What is the GCF of 4338 and 4346?

Answer: GCF of 4338 and 4346 is 2.

2. What are the Factors of 4338?

Answer: Factors of 4338 are 1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338. There are 12 integers that are factors of 4338. The greatest factor of 4338 is 4338.

3. What are the Factors of 4346?

Answer: Factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346. There are 8 integers that are factors of 4346. The greatest factor of 4346 is 4346.

4. How to Find the GCF of 4338 and 4346?

Answer:

Greatest Common Factor of 4338 and 4346 = 2

Step 1: Find the prime factorization of 4338

4338 = 2 x 3 x 3 x 241

Step 2: Find the prime factorization of 4346

4346 = 2 x 41 x 53

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 4338 and 4346 is 2