Greatest Common Factor of 12354 and 12359

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 12354, 12359 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12354 and 12359 is 1.

GCF(12354,12359) = 1

GCF of 12354 and 12359

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

GCF of:
and

Greatest Common Factor of 12354 and 12359

GCF of 12354 and 12359 is 1

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

Prime Factorization of 12359


17 12359
727 727
1

Prime factors of 12359 are 17,727. Prime factorization of 12359 in exponential form is:

12359 = 171×7271

∴ So by taking common prime factors GCF of 12354 and 12359 is 1

Greatest Common Factor of 12354 and 12359 by matching factors method

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

Factors of 12359

List of positive integer factors of 12359 that divides 12359 without a remainder.

1,17,727,12359

Greatest Common Factor

We found the factors and prime factorization of 12354 and 12359. The biggest common factor number is the GCF number.
So the greatest common factor 12354 and 12359 is 1.

Also check out the Least Common Multiple of 12354 and 12359

Properties of GCF 12354 and 12359

(i) The GCF of 12354 and 12359 is associative

GCF of 12354 and 12359 = GCF of 12359 and 12354

Related Greatest Common Factor of 12354

Related Greatest Common Factor of 12359

Frequently Asked Questions on GCF of 12354 and 12359

1. What is the GCF of 12354 and 12359?

Answer: GCF of 12354 and 12359 is 1.

2. 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.

3. What are the Factors of 12359?

Answer: Factors of 12359 are 1, 17, 727, 12359. There are 4 integers that are factors of 12359. The greatest factor of 12359 is 12359.

4. How to Find the GCF of 12354 and 12359?

Answer:

Greatest Common Factor of 12354 and 12359 = 1

Step 1: Find the prime factorization of 12354

12354 = 2 x 3 x 29 x 71

Step 2: Find the prime factorization of 12359

12359 = 17 x 727

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 12354 and 12359 is 1