Greatest Common Factor of 5914 and 5920

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 5914, 5920 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5914 and 5920 is 2.

GCF(5914,5920) = 2

GCF of 5914 and 5920

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

GCF of:
and

Greatest Common Factor of 5914 and 5920

GCF of 5914 and 5920 is 2

Prime Factorization of 5914


2 5914
2957 2957
1

Prime factors of 5914 are 2,2957. Prime factorization of 5914 in exponential form is:

5914 = 21×29571

Prime Factorization of 5920


2 5920
2 2960
2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 5920 are 2,5,37. Prime factorization of 5920 in exponential form is:

5920 = 25×51×371

∴ So by taking common prime factors GCF of 5914 and 5920 is 2

Greatest Common Factor of 5914 and 5920 by matching factors method

Factors of 5914

List of positive integer factors of 5914 that divides 5914 without a remainder.

1,2,2957,5914

Factors of 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920

Greatest Common Factor

We found the factors and prime factorization of 5914 and 5920. The biggest common factor number is the GCF number.
So the greatest common factor 5914 and 5920 is 2.

Also check out the Least Common Multiple of 5914 and 5920

Properties of GCF 5914 and 5920

(i) The GCF of 5914 and 5920 is associative

GCF of 5914 and 5920 = GCF of 5920 and 5914

Related Greatest Common Factor of 5914

Related Greatest Common Factor of 5920

Frequently Asked Questions on GCF of 5914 and 5920

1. What is the GCF of 5914 and 5920?

Answer: GCF of 5914 and 5920 is 2.

2. What are the Factors of 5914?

Answer: Factors of 5914 are 1, 2, 2957, 5914. There are 4 integers that are factors of 5914. The greatest factor of 5914 is 5914.

3. What are the Factors of 5920?

Answer: Factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920. There are 24 integers that are factors of 5920. The greatest factor of 5920 is 5920.

4. How to Find the GCF of 5914 and 5920?

Answer:

Greatest Common Factor of 5914 and 5920 = 2

Step 1: Find the prime factorization of 5914

5914 = 2 x 2957

Step 2: Find the prime factorization of 5920

5920 = 2 x 2 x 2 x 2 x 2 x 5 x 37

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 5914 and 5920 is 2