Greatest Common Factor of 2329 and 2336

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 2329, 2336 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2329 and 2336 is 1.

GCF(2329,2336) = 1

GCF of 2329 and 2336

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

GCF of:
and

Greatest Common Factor of 2329 and 2336

GCF of 2329 and 2336 is 1

Prime Factorization of 2329


17 2329
137 137
1

Prime factors of 2329 are 17,137. Prime factorization of 2329 in exponential form is:

2329 = 171×1371

Prime Factorization of 2336


2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 2336 are 2,73. Prime factorization of 2336 in exponential form is:

2336 = 25×731

∴ So by taking common prime factors GCF of 2329 and 2336 is 1

Greatest Common Factor of 2329 and 2336 by matching factors method

Factors of 2329

List of positive integer factors of 2329 that divides 2329 without a remainder.

1,17,137,2329

Factors of 2336

List of positive integer factors of 2336 that divides 2336 without a remainder.

1,2,4,8,16,32,73,146,292,584,1168,2336

Greatest Common Factor

We found the factors and prime factorization of 2329 and 2336. The biggest common factor number is the GCF number.
So the greatest common factor 2329 and 2336 is 1.

Also check out the Least Common Multiple of 2329 and 2336

Properties of GCF 2329 and 2336

(i) The GCF of 2329 and 2336 is associative

GCF of 2329 and 2336 = GCF of 2336 and 2329

Related Greatest Common Factor of 2329

Related Greatest Common Factor of 2336

Frequently Asked Questions on GCF of 2329 and 2336

1. What is the GCF of 2329 and 2336?

Answer: GCF of 2329 and 2336 is 1.

2. What are the Factors of 2329?

Answer: Factors of 2329 are 1, 17, 137, 2329. There are 4 integers that are factors of 2329. The greatest factor of 2329 is 2329.

3. What are the Factors of 2336?

Answer: Factors of 2336 are 1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336. There are 12 integers that are factors of 2336. The greatest factor of 2336 is 2336.

4. How to Find the GCF of 2329 and 2336?

Answer:

Greatest Common Factor of 2329 and 2336 = 1

Step 1: Find the prime factorization of 2329

2329 = 17 x 137

Step 2: Find the prime factorization of 2336

2336 = 2 x 2 x 2 x 2 x 2 x 73

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2329 and 2336 is 1