Greatest Common Factor of 14316 and 14324

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 14316, 14324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14316 and 14324 is 4.

GCF(14316,14324) = 4

GCF of 14316 and 14324

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

GCF of:
and

Greatest Common Factor of 14316 and 14324

GCF of 14316 and 14324 is 4

Prime Factorization of 14316


2 14316
2 7158
3 3579
1193 1193
1

Prime factors of 14316 are 2,3,1193. Prime factorization of 14316 in exponential form is:

14316 = 22×31×11931

Prime Factorization of 14324


2 14324
2 7162
3581 3581
1

Prime factors of 14324 are 2,3581. Prime factorization of 14324 in exponential form is:

14324 = 22×35811

∴ So by taking common prime factors GCF of 14316 and 14324 is 4

Greatest Common Factor of 14316 and 14324 by matching factors method

Factors of 14316

List of positive integer factors of 14316 that divides 14316 without a remainder.

1,2,3,4,6,12,1193,2386,3579,4772,7158,14316

Factors of 14324

List of positive integer factors of 14324 that divides 14324 without a remainder.

1,2,4,3581,7162,14324

Greatest Common Factor

We found the factors and prime factorization of 14316 and 14324. The biggest common factor number is the GCF number.
So the greatest common factor 14316 and 14324 is 4.

Also check out the Least Common Multiple of 14316 and 14324

Properties of GCF 14316 and 14324

(i) The GCF of 14316 and 14324 is associative

GCF of 14316 and 14324 = GCF of 14324 and 14316

Related Greatest Common Factor of 14316

Related Greatest Common Factor of 14324

Frequently Asked Questions on GCF of 14316 and 14324

1. What is the GCF of 14316 and 14324?

Answer: GCF of 14316 and 14324 is 4.

2. What are the Factors of 14316?

Answer: Factors of 14316 are 1, 2, 3, 4, 6, 12, 1193, 2386, 3579, 4772, 7158, 14316. There are 12 integers that are factors of 14316. The greatest factor of 14316 is 14316.

3. What are the Factors of 14324?

Answer: Factors of 14324 are 1, 2, 4, 3581, 7162, 14324. There are 6 integers that are factors of 14324. The greatest factor of 14324 is 14324.

4. How to Find the GCF of 14316 and 14324?

Answer:

Greatest Common Factor of 14316 and 14324 = 4

Step 1: Find the prime factorization of 14316

14316 = 2 x 2 x 3 x 1193

Step 2: Find the prime factorization of 14324

14324 = 2 x 2 x 3581

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 14316 and 14324 is 4