Greatest Common Factor of 12846 and 12850

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 12846, 12850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12846 and 12850 is 2.

GCF(12846,12850) = 2

GCF of 12846 and 12850

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

GCF of:
and

Greatest Common Factor of 12846 and 12850

GCF of 12846 and 12850 is 2

Prime Factorization of 12846


2 12846
3 6423
2141 2141
1

Prime factors of 12846 are 2,3,2141. Prime factorization of 12846 in exponential form is:

12846 = 21×31×21411

Prime Factorization of 12850


2 12850
5 6425
5 1285
257 257
1

Prime factors of 12850 are 2,5,257. Prime factorization of 12850 in exponential form is:

12850 = 21×52×2571

∴ So by taking common prime factors GCF of 12846 and 12850 is 2

Greatest Common Factor of 12846 and 12850 by matching factors method

Factors of 12846

List of positive integer factors of 12846 that divides 12846 without a remainder.

1,2,3,6,2141,4282,6423,12846

Factors of 12850

List of positive integer factors of 12850 that divides 12850 without a remainder.

1,2,5,10,25,50,257,514,1285,2570,6425,12850

Greatest Common Factor

We found the factors and prime factorization of 12846 and 12850. The biggest common factor number is the GCF number.
So the greatest common factor 12846 and 12850 is 2.

Also check out the Least Common Multiple of 12846 and 12850

Properties of GCF 12846 and 12850

(i) The GCF of 12846 and 12850 is associative

GCF of 12846 and 12850 = GCF of 12850 and 12846

Related Greatest Common Factor of 12846

Related Greatest Common Factor of 12850

Frequently Asked Questions on GCF of 12846 and 12850

1. What is the GCF of 12846 and 12850?

Answer: GCF of 12846 and 12850 is 2.

2. What are the Factors of 12846?

Answer: Factors of 12846 are 1, 2, 3, 6, 2141, 4282, 6423, 12846. There are 8 integers that are factors of 12846. The greatest factor of 12846 is 12846.

3. What are the Factors of 12850?

Answer: Factors of 12850 are 1, 2, 5, 10, 25, 50, 257, 514, 1285, 2570, 6425, 12850. There are 12 integers that are factors of 12850. The greatest factor of 12850 is 12850.

4. How to Find the GCF of 12846 and 12850?

Answer:

Greatest Common Factor of 12846 and 12850 = 2

Step 1: Find the prime factorization of 12846

12846 = 2 x 3 x 2141

Step 2: Find the prime factorization of 12850

12850 = 2 x 5 x 5 x 257

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 12846 and 12850 is 2