Greatest Common Factor of 12354 and 12362

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, 12362 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12354 and 12362 is 2.

GCF(12354,12362) = 2

GCF of 12354 and 12362

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

GCF of:
and

Greatest Common Factor of 12354 and 12362

GCF of 12354 and 12362 is 2

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 12362


2 12362
7 6181
883 883
1

Prime factors of 12362 are 2,7,883. Prime factorization of 12362 in exponential form is:

12362 = 21×71×8831

∴ So by taking common prime factors GCF of 12354 and 12362 is 2

Greatest Common Factor of 12354 and 12362 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 12362

List of positive integer factors of 12362 that divides 12362 without a remainder.

1,2,7,14,883,1766,6181,12362

Greatest Common Factor

We found the factors and prime factorization of 12354 and 12362. The biggest common factor number is the GCF number.
So the greatest common factor 12354 and 12362 is 2.

Also check out the Least Common Multiple of 12354 and 12362

Properties of GCF 12354 and 12362

(i) The GCF of 12354 and 12362 is associative

GCF of 12354 and 12362 = GCF of 12362 and 12354

Related Greatest Common Factor of 12354

Related Greatest Common Factor of 12362

Frequently Asked Questions on GCF of 12354 and 12362

1. What is the GCF of 12354 and 12362?

Answer: GCF of 12354 and 12362 is 2.

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 12362?

Answer: Factors of 12362 are 1, 2, 7, 14, 883, 1766, 6181, 12362. There are 8 integers that are factors of 12362. The greatest factor of 12362 is 12362.

4. How to Find the GCF of 12354 and 12362?

Answer:

Greatest Common Factor of 12354 and 12362 = 2

Step 1: Find the prime factorization of 12354

12354 = 2 x 3 x 29 x 71

Step 2: Find the prime factorization of 12362

12362 = 2 x 7 x 883

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 12354 and 12362 is 2