Greatest Common Factor of 12344 and 12350

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 12344, 12350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12344 and 12350 is 2.

GCF(12344,12350) = 2

GCF of 12344 and 12350

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

GCF of:
and

Greatest Common Factor of 12344 and 12350

GCF of 12344 and 12350 is 2

Prime Factorization of 12344


2 12344
2 6172
2 3086
1543 1543
1

Prime factors of 12344 are 2,1543. Prime factorization of 12344 in exponential form is:

12344 = 23×15431

Prime Factorization of 12350


2 12350
5 6175
5 1235
13 247
19 19
1

Prime factors of 12350 are 2,5,13,19. Prime factorization of 12350 in exponential form is:

12350 = 21×52×131×191

∴ So by taking common prime factors GCF of 12344 and 12350 is 2

Greatest Common Factor of 12344 and 12350 by matching factors method

Factors of 12344

List of positive integer factors of 12344 that divides 12344 without a remainder.

1,2,4,8,1543,3086,6172,12344

Factors of 12350

List of positive integer factors of 12350 that divides 12350 without a remainder.

1,2,5,10,13,19,25,26,38,50,65,95,130,190,247,325,475,494,650,950,1235,2470,6175,12350

Greatest Common Factor

We found the factors and prime factorization of 12344 and 12350. The biggest common factor number is the GCF number.
So the greatest common factor 12344 and 12350 is 2.

Also check out the Least Common Multiple of 12344 and 12350

Properties of GCF 12344 and 12350

(i) The GCF of 12344 and 12350 is associative

GCF of 12344 and 12350 = GCF of 12350 and 12344

Related Greatest Common Factor of 12344

Related Greatest Common Factor of 12350

Frequently Asked Questions on GCF of 12344 and 12350

1. What is the GCF of 12344 and 12350?

Answer: GCF of 12344 and 12350 is 2.

2. What are the Factors of 12344?

Answer: Factors of 12344 are 1, 2, 4, 8, 1543, 3086, 6172, 12344. There are 8 integers that are factors of 12344. The greatest factor of 12344 is 12344.

3. What are the Factors of 12350?

Answer: Factors of 12350 are 1, 2, 5, 10, 13, 19, 25, 26, 38, 50, 65, 95, 130, 190, 247, 325, 475, 494, 650, 950, 1235, 2470, 6175, 12350. There are 24 integers that are factors of 12350. The greatest factor of 12350 is 12350.

4. How to Find the GCF of 12344 and 12350?

Answer:

Greatest Common Factor of 12344 and 12350 = 2

Step 1: Find the prime factorization of 12344

12344 = 2 x 2 x 2 x 1543

Step 2: Find the prime factorization of 12350

12350 = 2 x 5 x 5 x 13 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 12344 and 12350 is 2