Greatest Common Factor of 4326 and 4333

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 4326, 4333 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4326 and 4333 is 7.

GCF(4326,4333) = 7

GCF of 4326 and 4333

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

GCF of:
and

Greatest Common Factor of 4326 and 4333

GCF of 4326 and 4333 is 7

Prime Factorization of 4326


2 4326
3 2163
7 721
103 103
1

Prime factors of 4326 are 2,3,7,103. Prime factorization of 4326 in exponential form is:

4326 = 21×31×71×1031

Prime Factorization of 4333


7 4333
619 619
1

Prime factors of 4333 are 7,619. Prime factorization of 4333 in exponential form is:

4333 = 71×6191

∴ So by taking common prime factors GCF of 4326 and 4333 is 7

Greatest Common Factor of 4326 and 4333 by matching factors method

Factors of 4326

List of positive integer factors of 4326 that divides 4326 without a remainder.

1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326

Factors of 4333

List of positive integer factors of 4333 that divides 4333 without a remainder.

1,7,619,4333

Greatest Common Factor

We found the factors and prime factorization of 4326 and 4333. The biggest common factor number is the GCF number.
So the greatest common factor 4326 and 4333 is 7.

Also check out the Least Common Multiple of 4326 and 4333

Properties of GCF 4326 and 4333

(i) The GCF of 4326 and 4333 is associative

GCF of 4326 and 4333 = GCF of 4333 and 4326

Related Greatest Common Factor of 4326

Related Greatest Common Factor of 4333

Frequently Asked Questions on GCF of 4326 and 4333

1. What is the GCF of 4326 and 4333?

Answer: GCF of 4326 and 4333 is 7.

2. What are the Factors of 4326?

Answer: Factors of 4326 are 1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326. There are 16 integers that are factors of 4326. The greatest factor of 4326 is 4326.

3. What are the Factors of 4333?

Answer: Factors of 4333 are 1, 7, 619, 4333. There are 4 integers that are factors of 4333. The greatest factor of 4333 is 4333.

4. How to Find the GCF of 4326 and 4333?

Answer:

Greatest Common Factor of 4326 and 4333 = 7

Step 1: Find the prime factorization of 4326

4326 = 2 x 3 x 7 x 103

Step 2: Find the prime factorization of 4333

4333 = 7 x 619

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 4326 and 4333 is 7