Greatest Common Factor of 4324 and 4332

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 4324, 4332 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4324 and 4332 is 4.

GCF(4324,4332) = 4

GCF of 4324 and 4332

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

GCF of:
and

Greatest Common Factor of 4324 and 4332

GCF of 4324 and 4332 is 4

Prime Factorization of 4324


2 4324
2 2162
23 1081
47 47
1

Prime factors of 4324 are 2,23,47. Prime factorization of 4324 in exponential form is:

4324 = 22×231×471

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

∴ So by taking common prime factors GCF of 4324 and 4332 is 4

Greatest Common Factor of 4324 and 4332 by matching factors method

Factors of 4324

List of positive integer factors of 4324 that divides 4324 without a remainder.

1,2,4,23,46,47,92,94,188,1081,2162,4324

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

Greatest Common Factor

We found the factors and prime factorization of 4324 and 4332. The biggest common factor number is the GCF number.
So the greatest common factor 4324 and 4332 is 4.

Also check out the Least Common Multiple of 4324 and 4332

Properties of GCF 4324 and 4332

(i) The GCF of 4324 and 4332 is associative

GCF of 4324 and 4332 = GCF of 4332 and 4324

Related Greatest Common Factor of 4324

Related Greatest Common Factor of 4332

Frequently Asked Questions on GCF of 4324 and 4332

1. What is the GCF of 4324 and 4332?

Answer: GCF of 4324 and 4332 is 4.

2. What are the Factors of 4324?

Answer: Factors of 4324 are 1, 2, 4, 23, 46, 47, 92, 94, 188, 1081, 2162, 4324. There are 12 integers that are factors of 4324. The greatest factor of 4324 is 4324.

3. 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.

4. How to Find the GCF of 4324 and 4332?

Answer:

Greatest Common Factor of 4324 and 4332 = 4

Step 1: Find the prime factorization of 4324

4324 = 2 x 2 x 23 x 47

Step 2: Find the prime factorization of 4332

4332 = 2 x 2 x 3 x 19 x 19

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4324 and 4332 is 4