Greatest Common Factor of 5888 and 5892

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 5888, 5892 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5888 and 5892 is 4.

GCF(5888,5892) = 4

GCF of 5888 and 5892

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

GCF of:
and

Greatest Common Factor of 5888 and 5892

GCF of 5888 and 5892 is 4

Prime Factorization of 5888


2 5888
2 2944
2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 5888 are 2,23. Prime factorization of 5888 in exponential form is:

5888 = 28×231

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

∴ So by taking common prime factors GCF of 5888 and 5892 is 4

Greatest Common Factor of 5888 and 5892 by matching factors method

Factors of 5888

List of positive integer factors of 5888 that divides 5888 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888

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

Greatest Common Factor

We found the factors and prime factorization of 5888 and 5892. The biggest common factor number is the GCF number.
So the greatest common factor 5888 and 5892 is 4.

Also check out the Least Common Multiple of 5888 and 5892

Properties of GCF 5888 and 5892

(i) The GCF of 5888 and 5892 is associative

GCF of 5888 and 5892 = GCF of 5892 and 5888

Related Greatest Common Factor of 5888

Related Greatest Common Factor of 5892

Frequently Asked Questions on GCF of 5888 and 5892

1. What is the GCF of 5888 and 5892?

Answer: GCF of 5888 and 5892 is 4.

2. What are the Factors of 5888?

Answer: Factors of 5888 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 736, 1472, 2944, 5888. There are 18 integers that are factors of 5888. The greatest factor of 5888 is 5888.

3. 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.

4. How to Find the GCF of 5888 and 5892?

Answer:

Greatest Common Factor of 5888 and 5892 = 4

Step 1: Find the prime factorization of 5888

5888 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 5892

5892 = 2 x 2 x 3 x 491

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 5888 and 5892 is 4