Greatest Common Factor of 5896 and 5898

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 5896, 5898 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5896 and 5898 is 2.

GCF(5896,5898) = 2

GCF of 5896 and 5898

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

GCF of:
and

Greatest Common Factor of 5896 and 5898

GCF of 5896 and 5898 is 2

Prime Factorization of 5896


2 5896
2 2948
2 1474
11 737
67 67
1

Prime factors of 5896 are 2,11,67. Prime factorization of 5896 in exponential form is:

5896 = 23×111×671

Prime Factorization of 5898


2 5898
3 2949
983 983
1

Prime factors of 5898 are 2,3,983. Prime factorization of 5898 in exponential form is:

5898 = 21×31×9831

∴ So by taking common prime factors GCF of 5896 and 5898 is 2

Greatest Common Factor of 5896 and 5898 by matching factors method

Factors of 5896

List of positive integer factors of 5896 that divides 5896 without a remainder.

1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896

Factors of 5898

List of positive integer factors of 5898 that divides 5898 without a remainder.

1,2,3,6,983,1966,2949,5898

Greatest Common Factor

We found the factors and prime factorization of 5896 and 5898. The biggest common factor number is the GCF number.
So the greatest common factor 5896 and 5898 is 2.

Also check out the Least Common Multiple of 5896 and 5898

Properties of GCF 5896 and 5898

(i) The GCF of 5896 and 5898 is associative

GCF of 5896 and 5898 = GCF of 5898 and 5896

Related Greatest Common Factor of 5896

Related Greatest Common Factor of 5898

Frequently Asked Questions on GCF of 5896 and 5898

1. What is the GCF of 5896 and 5898?

Answer: GCF of 5896 and 5898 is 2.

2. What are the Factors of 5896?

Answer: Factors of 5896 are 1, 2, 4, 8, 11, 22, 44, 67, 88, 134, 268, 536, 737, 1474, 2948, 5896. There are 16 integers that are factors of 5896. The greatest factor of 5896 is 5896.

3. What are the Factors of 5898?

Answer: Factors of 5898 are 1, 2, 3, 6, 983, 1966, 2949, 5898. There are 8 integers that are factors of 5898. The greatest factor of 5898 is 5898.

4. How to Find the GCF of 5896 and 5898?

Answer:

Greatest Common Factor of 5896 and 5898 = 2

Step 1: Find the prime factorization of 5896

5896 = 2 x 2 x 2 x 11 x 67

Step 2: Find the prime factorization of 5898

5898 = 2 x 3 x 983

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5896 and 5898 is 2