Greatest Common Factor of 2317 and 2324

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 2317, 2324 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2317 and 2324 is 7.

GCF(2317,2324) = 7

GCF of 2317 and 2324

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

GCF of:
and

Greatest Common Factor of 2317 and 2324

GCF of 2317 and 2324 is 7

Prime Factorization of 2317


7 2317
331 331
1

Prime factors of 2317 are 7,331. Prime factorization of 2317 in exponential form is:

2317 = 71×3311

Prime Factorization of 2324


2 2324
2 1162
7 581
83 83
1

Prime factors of 2324 are 2,7,83. Prime factorization of 2324 in exponential form is:

2324 = 22×71×831

∴ So by taking common prime factors GCF of 2317 and 2324 is 7

Greatest Common Factor of 2317 and 2324 by matching factors method

Factors of 2317

List of positive integer factors of 2317 that divides 2317 without a remainder.

1,7,331,2317

Factors of 2324

List of positive integer factors of 2324 that divides 2324 without a remainder.

1,2,4,7,14,28,83,166,332,581,1162,2324

Greatest Common Factor

We found the factors and prime factorization of 2317 and 2324. The biggest common factor number is the GCF number.
So the greatest common factor 2317 and 2324 is 7.

Also check out the Least Common Multiple of 2317 and 2324

Properties of GCF 2317 and 2324

(i) The GCF of 2317 and 2324 is associative

GCF of 2317 and 2324 = GCF of 2324 and 2317

Related Greatest Common Factor of 2317

Related Greatest Common Factor of 2324

Frequently Asked Questions on GCF of 2317 and 2324

1. What is the GCF of 2317 and 2324?

Answer: GCF of 2317 and 2324 is 7.

2. What are the Factors of 2317?

Answer: Factors of 2317 are 1, 7, 331, 2317. There are 4 integers that are factors of 2317. The greatest factor of 2317 is 2317.

3. What are the Factors of 2324?

Answer: Factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324. There are 12 integers that are factors of 2324. The greatest factor of 2324 is 2324.

4. How to Find the GCF of 2317 and 2324?

Answer:

Greatest Common Factor of 2317 and 2324 = 7

Step 1: Find the prime factorization of 2317

2317 = 7 x 331

Step 2: Find the prime factorization of 2324

2324 = 2 x 2 x 7 x 83

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 2317 and 2324 is 7