Greatest Common Factor of 849 and 852

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 849, 852 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 849 and 852 is 3.

GCF(849,852) = 3

GCF of 849 and 852

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

GCF of:
and

Greatest Common Factor of 849 and 852

GCF of 849 and 852 is 3

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

Prime Factorization of 852


2 852
2 426
3 213
71 71
1

Prime factors of 852 are 2,3,71. Prime factorization of 852 in exponential form is:

852 = 22×31×711

∴ So by taking common prime factors GCF of 849 and 852 is 3

Greatest Common Factor of 849 and 852 by matching factors method

Factors of 849

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

1,3,283,849

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors and prime factorization of 849 and 852. The biggest common factor number is the GCF number.
So the greatest common factor 849 and 852 is 3.

Also check out the Least Common Multiple of 849 and 852

Properties of GCF 849 and 852

(i) The GCF of 849 and 852 is associative

GCF of 849 and 852 = GCF of 852 and 849

Related Greatest Common Factor of 849

Related Greatest Common Factor of 852

Frequently Asked Questions on GCF of 849 and 852

1. What is the GCF of 849 and 852?

Answer: GCF of 849 and 852 is 3.

2. 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.

3. What are the Factors of 852?

Answer: Factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852. There are 12 integers that are factors of 852. The greatest factor of 852 is 852.

4. How to Find the GCF of 849 and 852?

Answer:

Greatest Common Factor of 849 and 852 = 3

Step 1: Find the prime factorization of 849

849 = 3 x 283

Step 2: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

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 849 and 852 is 3