Greatest Common Factor of 5892 and 5900

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 5892, 5900 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5892 and 5900 is 4.

GCF(5892,5900) = 4

GCF of 5892 and 5900

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

GCF of:
and

Greatest Common Factor of 5892 and 5900

GCF of 5892 and 5900 is 4

Prime Factorization of 5892


2 5892
2 2946
3 1473
491 491
1

Prime factors of 5892 are 2,3,491. Prime factorization of 5892 in exponential form is:

5892 = 22×31×4911

Prime Factorization of 5900


2 5900
2 2950
5 1475
5 295
59 59
1

Prime factors of 5900 are 2,5,59. Prime factorization of 5900 in exponential form is:

5900 = 22×52×591

∴ So by taking common prime factors GCF of 5892 and 5900 is 4

Greatest Common Factor of 5892 and 5900 by matching factors method

Factors of 5892

List of positive integer factors of 5892 that divides 5892 without a remainder.

1,2,3,4,6,12,491,982,1473,1964,2946,5892

Factors of 5900

List of positive integer factors of 5900 that divides 5900 without a remainder.

1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900

Greatest Common Factor

We found the factors and prime factorization of 5892 and 5900. The biggest common factor number is the GCF number.
So the greatest common factor 5892 and 5900 is 4.

Also check out the Least Common Multiple of 5892 and 5900

Properties of GCF 5892 and 5900

(i) The GCF of 5892 and 5900 is associative

GCF of 5892 and 5900 = GCF of 5900 and 5892

Related Greatest Common Factor of 5892

Related Greatest Common Factor of 5900

Frequently Asked Questions on GCF of 5892 and 5900

1. What is the GCF of 5892 and 5900?

Answer: GCF of 5892 and 5900 is 4.

2. What are the Factors of 5892?

Answer: Factors of 5892 are 1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946, 5892. There are 12 integers that are factors of 5892. The greatest factor of 5892 is 5892.

3. What are the Factors of 5900?

Answer: Factors of 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900. There are 18 integers that are factors of 5900. The greatest factor of 5900 is 5900.

4. How to Find the GCF of 5892 and 5900?

Answer:

Greatest Common Factor of 5892 and 5900 = 4

Step 1: Find the prime factorization of 5892

5892 = 2 x 2 x 3 x 491

Step 2: Find the prime factorization of 5900

5900 = 2 x 2 x 5 x 5 x 59

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 5892 and 5900 is 4