Greatest Common Factor of 2844 and 2852

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 2844, 2852 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2844 and 2852 is 4.

GCF(2844,2852) = 4

GCF of 2844 and 2852

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

GCF of:
and

Greatest Common Factor of 2844 and 2852

GCF of 2844 and 2852 is 4

Prime Factorization of 2844


2 2844
2 1422
3 711
3 237
79 79
1

Prime factors of 2844 are 2,3,79. Prime factorization of 2844 in exponential form is:

2844 = 22×32×791

Prime Factorization of 2852


2 2852
2 1426
23 713
31 31
1

Prime factors of 2852 are 2,23,31. Prime factorization of 2852 in exponential form is:

2852 = 22×231×311

∴ So by taking common prime factors GCF of 2844 and 2852 is 4

Greatest Common Factor of 2844 and 2852 by matching factors method

Factors of 2844

List of positive integer factors of 2844 that divides 2844 without a remainder.

1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844

Factors of 2852

List of positive integer factors of 2852 that divides 2852 without a remainder.

1,2,4,23,31,46,62,92,124,713,1426,2852

Greatest Common Factor

We found the factors and prime factorization of 2844 and 2852. The biggest common factor number is the GCF number.
So the greatest common factor 2844 and 2852 is 4.

Also check out the Least Common Multiple of 2844 and 2852

Properties of GCF 2844 and 2852

(i) The GCF of 2844 and 2852 is associative

GCF of 2844 and 2852 = GCF of 2852 and 2844

Related Greatest Common Factor of 2844

Related Greatest Common Factor of 2852

Frequently Asked Questions on GCF of 2844 and 2852

1. What is the GCF of 2844 and 2852?

Answer: GCF of 2844 and 2852 is 4.

2. What are the Factors of 2844?

Answer: Factors of 2844 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844. There are 18 integers that are factors of 2844. The greatest factor of 2844 is 2844.

3. What are the Factors of 2852?

Answer: Factors of 2852 are 1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852. There are 12 integers that are factors of 2852. The greatest factor of 2852 is 2852.

4. How to Find the GCF of 2844 and 2852?

Answer:

Greatest Common Factor of 2844 and 2852 = 4

Step 1: Find the prime factorization of 2844

2844 = 2 x 2 x 3 x 3 x 79

Step 2: Find the prime factorization of 2852

2852 = 2 x 2 x 23 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2844 and 2852 is 4