Greatest Common Factor of 5844 and 5852

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 5844, 5852 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5844 and 5852 is 4.

GCF(5844,5852) = 4

GCF of 5844 and 5852

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

GCF of:
and

Greatest Common Factor of 5844 and 5852

GCF of 5844 and 5852 is 4

Prime Factorization of 5844


2 5844
2 2922
3 1461
487 487
1

Prime factors of 5844 are 2,3,487. Prime factorization of 5844 in exponential form is:

5844 = 22×31×4871

Prime Factorization of 5852


2 5852
2 2926
7 1463
11 209
19 19
1

Prime factors of 5852 are 2,7,11,19. Prime factorization of 5852 in exponential form is:

5852 = 22×71×111×191

∴ So by taking common prime factors GCF of 5844 and 5852 is 4

Greatest Common Factor of 5844 and 5852 by matching factors method

Factors of 5844

List of positive integer factors of 5844 that divides 5844 without a remainder.

1,2,3,4,6,12,487,974,1461,1948,2922,5844

Factors of 5852

List of positive integer factors of 5852 that divides 5852 without a remainder.

1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852

Greatest Common Factor

We found the factors and prime factorization of 5844 and 5852. The biggest common factor number is the GCF number.
So the greatest common factor 5844 and 5852 is 4.

Also check out the Least Common Multiple of 5844 and 5852

Properties of GCF 5844 and 5852

(i) The GCF of 5844 and 5852 is associative

GCF of 5844 and 5852 = GCF of 5852 and 5844

Related Greatest Common Factor of 5844

Related Greatest Common Factor of 5852

Frequently Asked Questions on GCF of 5844 and 5852

1. What is the GCF of 5844 and 5852?

Answer: GCF of 5844 and 5852 is 4.

2. What are the Factors of 5844?

Answer: Factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844. There are 12 integers that are factors of 5844. The greatest factor of 5844 is 5844.

3. What are the Factors of 5852?

Answer: Factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852. There are 24 integers that are factors of 5852. The greatest factor of 5852 is 5852.

4. How to Find the GCF of 5844 and 5852?

Answer:

Greatest Common Factor of 5844 and 5852 = 4

Step 1: Find the prime factorization of 5844

5844 = 2 x 2 x 3 x 487

Step 2: Find the prime factorization of 5852

5852 = 2 x 2 x 7 x 11 x 19

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 5844 and 5852 is 4