Greatest Common Factor of 846 and 849

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 846, 849 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 846 and 849 is 3.

GCF(846,849) = 3

GCF of 846 and 849

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

GCF of:
and

Greatest Common Factor of 846 and 849

GCF of 846 and 849 is 3

Prime Factorization of 846


2 846
3 423
3 141
47 47
1

Prime factors of 846 are 2,3,47. Prime factorization of 846 in exponential form is:

846 = 21×32×471

Prime Factorization of 849


3 849
283 283
1

Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:

849 = 31×2831

∴ So by taking common prime factors GCF of 846 and 849 is 3

Greatest Common Factor of 846 and 849 by matching factors method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors and prime factorization of 846 and 849. The biggest common factor number is the GCF number.
So the greatest common factor 846 and 849 is 3.

Also check out the Least Common Multiple of 846 and 849

Properties of GCF 846 and 849

(i) The GCF of 846 and 849 is associative

GCF of 846 and 849 = GCF of 849 and 846

Related Greatest Common Factor of 846

Related Greatest Common Factor of 849

Frequently Asked Questions on GCF of 846 and 849

1. What is the GCF of 846 and 849?

Answer: GCF of 846 and 849 is 3.

2. What are the Factors of 846?

Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.

3. What are the Factors of 849?

Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.

4. How to Find the GCF of 846 and 849?

Answer:

Greatest Common Factor of 846 and 849 = 3

Step 1: Find the prime factorization of 846

846 = 2 x 3 x 3 x 47

Step 2: Find the prime factorization of 849

849 = 3 x 283

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 846 and 849 is 3