Greatest Common Factor of 4332 and 4338

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 4332, 4338 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4332 and 4338 is 6.

GCF(4332,4338) = 6

GCF of 4332 and 4338

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

GCF of:
and

Greatest Common Factor of 4332 and 4338

GCF of 4332 and 4338 is 6

Prime Factorization of 4332


2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 4332 are 2,3,19. Prime factorization of 4332 in exponential form is:

4332 = 22×31×192

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

∴ So by taking common prime factors GCF of 4332 and 4338 is 6

Greatest Common Factor of 4332 and 4338 by matching factors method

Factors of 4332

List of positive integer factors of 4332 that divides 4332 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332

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

Greatest Common Factor

We found the factors and prime factorization of 4332 and 4338. The biggest common factor number is the GCF number.
So the greatest common factor 4332 and 4338 is 6.

Also check out the Least Common Multiple of 4332 and 4338

Properties of GCF 4332 and 4338

(i) The GCF of 4332 and 4338 is associative

GCF of 4332 and 4338 = GCF of 4338 and 4332

Related Greatest Common Factor of 4332

Related Greatest Common Factor of 4338

Frequently Asked Questions on GCF of 4332 and 4338

1. What is the GCF of 4332 and 4338?

Answer: GCF of 4332 and 4338 is 6.

2. What are the Factors of 4332?

Answer: Factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332. There are 18 integers that are factors of 4332. The greatest factor of 4332 is 4332.

3. 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.

4. How to Find the GCF of 4332 and 4338?

Answer:

Greatest Common Factor of 4332 and 4338 = 6

Step 1: Find the prime factorization of 4332

4332 = 2 x 2 x 3 x 19 x 19

Step 2: Find the prime factorization of 4338

4338 = 2 x 3 x 3 x 241

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 4332 and 4338 is 6