Greatest Common Factor of 5890 and 5896

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 5890, 5896 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5890 and 5896 is 2.

GCF(5890,5896) = 2

GCF of 5890 and 5896

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

GCF of:
and

Greatest Common Factor of 5890 and 5896

GCF of 5890 and 5896 is 2

Prime Factorization of 5890


2 5890
5 2945
19 589
31 31
1

Prime factors of 5890 are 2,5,19,31. Prime factorization of 5890 in exponential form is:

5890 = 21×51×191×311

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

∴ So by taking common prime factors GCF of 5890 and 5896 is 2

Greatest Common Factor of 5890 and 5896 by matching factors method

Factors of 5890

List of positive integer factors of 5890 that divides 5890 without a remainder.

1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890

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

Greatest Common Factor

We found the factors and prime factorization of 5890 and 5896. The biggest common factor number is the GCF number.
So the greatest common factor 5890 and 5896 is 2.

Also check out the Least Common Multiple of 5890 and 5896

Properties of GCF 5890 and 5896

(i) The GCF of 5890 and 5896 is associative

GCF of 5890 and 5896 = GCF of 5896 and 5890

Related Greatest Common Factor of 5890

Related Greatest Common Factor of 5896

Frequently Asked Questions on GCF of 5890 and 5896

1. What is the GCF of 5890 and 5896?

Answer: GCF of 5890 and 5896 is 2.

2. What are the Factors of 5890?

Answer: Factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890. There are 16 integers that are factors of 5890. The greatest factor of 5890 is 5890.

3. 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.

4. How to Find the GCF of 5890 and 5896?

Answer:

Greatest Common Factor of 5890 and 5896 = 2

Step 1: Find the prime factorization of 5890

5890 = 2 x 5 x 19 x 31

Step 2: Find the prime factorization of 5896

5896 = 2 x 2 x 2 x 11 x 67

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 5890 and 5896 is 2