Greatest Common Factor of 12335 and 12340

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 12335, 12340 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12335 and 12340 is 5.

GCF(12335,12340) = 5

GCF of 12335 and 12340

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

GCF of:
and

Greatest Common Factor of 12335 and 12340

GCF of 12335 and 12340 is 5

Prime Factorization of 12335


5 12335
2467 2467
1

Prime factors of 12335 are 5,2467. Prime factorization of 12335 in exponential form is:

12335 = 51×24671

Prime Factorization of 12340


2 12340
2 6170
5 3085
617 617
1

Prime factors of 12340 are 2,5,617. Prime factorization of 12340 in exponential form is:

12340 = 22×51×6171

∴ So by taking common prime factors GCF of 12335 and 12340 is 5

Greatest Common Factor of 12335 and 12340 by matching factors method

Factors of 12335

List of positive integer factors of 12335 that divides 12335 without a remainder.

1,5,2467,12335

Factors of 12340

List of positive integer factors of 12340 that divides 12340 without a remainder.

1,2,4,5,10,20,617,1234,2468,3085,6170,12340

Greatest Common Factor

We found the factors and prime factorization of 12335 and 12340. The biggest common factor number is the GCF number.
So the greatest common factor 12335 and 12340 is 5.

Also check out the Least Common Multiple of 12335 and 12340

Properties of GCF 12335 and 12340

(i) The GCF of 12335 and 12340 is associative

GCF of 12335 and 12340 = GCF of 12340 and 12335

Related Greatest Common Factor of 12335

Related Greatest Common Factor of 12340

Frequently Asked Questions on GCF of 12335 and 12340

1. What is the GCF of 12335 and 12340?

Answer: GCF of 12335 and 12340 is 5.

2. What are the Factors of 12335?

Answer: Factors of 12335 are 1, 5, 2467, 12335. There are 4 integers that are factors of 12335. The greatest factor of 12335 is 12335.

3. What are the Factors of 12340?

Answer: Factors of 12340 are 1, 2, 4, 5, 10, 20, 617, 1234, 2468, 3085, 6170, 12340. There are 12 integers that are factors of 12340. The greatest factor of 12340 is 12340.

4. How to Find the GCF of 12335 and 12340?

Answer:

Greatest Common Factor of 12335 and 12340 = 5

Step 1: Find the prime factorization of 12335

12335 = 5 x 2467

Step 2: Find the prime factorization of 12340

12340 = 2 x 2 x 5 x 617

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

GCF = 5

Step 4: Therefore, the greatest common factor of 12335 and 12340 is 5