Greatest Common Factor of 4338 and 4344

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, 4344 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4338 and 4344 is 6.

GCF(4338,4344) = 6

GCF of 4338 and 4344

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

GCF of:
and

Greatest Common Factor of 4338 and 4344

GCF of 4338 and 4344 is 6

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 4344


2 4344
2 2172
2 1086
3 543
181 181
1

Prime factors of 4344 are 2,3,181. Prime factorization of 4344 in exponential form is:

4344 = 23×31×1811

∴ So by taking common prime factors GCF of 4338 and 4344 is 6

Greatest Common Factor of 4338 and 4344 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 4344

List of positive integer factors of 4344 that divides 4344 without a remainder.

1,2,3,4,6,8,12,24,181,362,543,724,1086,1448,2172,4344

Greatest Common Factor

We found the factors and prime factorization of 4338 and 4344. The biggest common factor number is the GCF number.
So the greatest common factor 4338 and 4344 is 6.

Also check out the Least Common Multiple of 4338 and 4344

Properties of GCF 4338 and 4344

(i) The GCF of 4338 and 4344 is associative

GCF of 4338 and 4344 = GCF of 4344 and 4338

Related Greatest Common Factor of 4338

Related Greatest Common Factor of 4344

Frequently Asked Questions on GCF of 4338 and 4344

1. What is the GCF of 4338 and 4344?

Answer: GCF of 4338 and 4344 is 6.

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 4344?

Answer: Factors of 4344 are 1, 2, 3, 4, 6, 8, 12, 24, 181, 362, 543, 724, 1086, 1448, 2172, 4344. There are 16 integers that are factors of 4344. The greatest factor of 4344 is 4344.

4. How to Find the GCF of 4338 and 4344?

Answer:

Greatest Common Factor of 4338 and 4344 = 6

Step 1: Find the prime factorization of 4338

4338 = 2 x 3 x 3 x 241

Step 2: Find the prime factorization of 4344

4344 = 2 x 2 x 2 x 3 x 181

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4338 and 4344 is 6