Greatest Common Factor of 12350 and 12354

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, 12354 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12350 and 12354 is 2.

GCF(12350,12354) = 2

GCF of 12350 and 12354

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

GCF of:
and

Greatest Common Factor of 12350 and 12354

GCF of 12350 and 12354 is 2

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 12354


2 12354
3 6177
29 2059
71 71
1

Prime factors of 12354 are 2,3,29,71. Prime factorization of 12354 in exponential form is:

12354 = 21×31×291×711

∴ So by taking common prime factors GCF of 12350 and 12354 is 2

Greatest Common Factor of 12350 and 12354 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 12354

List of positive integer factors of 12354 that divides 12354 without a remainder.

1,2,3,6,29,58,71,87,142,174,213,426,2059,4118,6177,12354

Greatest Common Factor

We found the factors and prime factorization of 12350 and 12354. The biggest common factor number is the GCF number.
So the greatest common factor 12350 and 12354 is 2.

Also check out the Least Common Multiple of 12350 and 12354

Properties of GCF 12350 and 12354

(i) The GCF of 12350 and 12354 is associative

GCF of 12350 and 12354 = GCF of 12354 and 12350

Related Greatest Common Factor of 12350

Related Greatest Common Factor of 12354

Frequently Asked Questions on GCF of 12350 and 12354

1. What is the GCF of 12350 and 12354?

Answer: GCF of 12350 and 12354 is 2.

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 12354?

Answer: Factors of 12354 are 1, 2, 3, 6, 29, 58, 71, 87, 142, 174, 213, 426, 2059, 4118, 6177, 12354. There are 16 integers that are factors of 12354. The greatest factor of 12354 is 12354.

4. How to Find the GCF of 12350 and 12354?

Answer:

Greatest Common Factor of 12350 and 12354 = 2

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 12354

12354 = 2 x 3 x 29 x 71

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 12350 and 12354 is 2