Greatest Common Factor of 12350 and 12355

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 12350, 12355 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12350 and 12355 is 5.

GCF(12350,12355) = 5

GCF of 12350 and 12355

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

GCF of:
and

Greatest Common Factor of 12350 and 12355

GCF of 12350 and 12355 is 5

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

Prime Factorization of 12355


5 12355
7 2471
353 353
1

Prime factors of 12355 are 5,7,353. Prime factorization of 12355 in exponential form is:

12355 = 51×71×3531

∴ So by taking common prime factors GCF of 12350 and 12355 is 5

Greatest Common Factor of 12350 and 12355 by matching factors method

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

Factors of 12355

List of positive integer factors of 12355 that divides 12355 without a remainder.

1,5,7,35,353,1765,2471,12355

Greatest Common Factor

We found the factors and prime factorization of 12350 and 12355. The biggest common factor number is the GCF number.
So the greatest common factor 12350 and 12355 is 5.

Also check out the Least Common Multiple of 12350 and 12355

Properties of GCF 12350 and 12355

(i) The GCF of 12350 and 12355 is associative

GCF of 12350 and 12355 = GCF of 12355 and 12350

Related Greatest Common Factor of 12350

Related Greatest Common Factor of 12355

Frequently Asked Questions on GCF of 12350 and 12355

1. What is the GCF of 12350 and 12355?

Answer: GCF of 12350 and 12355 is 5.

2. 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.

3. What are the Factors of 12355?

Answer: Factors of 12355 are 1, 5, 7, 35, 353, 1765, 2471, 12355. There are 8 integers that are factors of 12355. The greatest factor of 12355 is 12355.

4. How to Find the GCF of 12350 and 12355?

Answer:

Greatest Common Factor of 12350 and 12355 = 5

Step 1: Find the prime factorization of 12350

12350 = 2 x 5 x 5 x 13 x 19

Step 2: Find the prime factorization of 12355

12355 = 5 x 7 x 353

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 12350 and 12355 is 5