Greatest Common Factor of 5920 and 5925

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 5920, 5925 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5920 and 5925 is 5.

GCF(5920,5925) = 5

GCF of 5920 and 5925

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

GCF of:
and

Greatest Common Factor of 5920 and 5925

GCF of 5920 and 5925 is 5

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

Prime Factorization of 5925


3 5925
5 1975
5 395
79 79
1

Prime factors of 5925 are 3,5,79. Prime factorization of 5925 in exponential form is:

5925 = 31×52×791

∴ So by taking common prime factors GCF of 5920 and 5925 is 5

Greatest Common Factor of 5920 and 5925 by matching factors method

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

Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1,3,5,15,25,75,79,237,395,1185,1975,5925

Greatest Common Factor

We found the factors and prime factorization of 5920 and 5925. The biggest common factor number is the GCF number.
So the greatest common factor 5920 and 5925 is 5.

Also check out the Least Common Multiple of 5920 and 5925

Properties of GCF 5920 and 5925

(i) The GCF of 5920 and 5925 is associative

GCF of 5920 and 5925 = GCF of 5925 and 5920

Related Greatest Common Factor of 5920

Related Greatest Common Factor of 5925

Frequently Asked Questions on GCF of 5920 and 5925

1. What is the GCF of 5920 and 5925?

Answer: GCF of 5920 and 5925 is 5.

2. 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.

3. What are the Factors of 5925?

Answer: Factors of 5925 are 1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925. There are 12 integers that are factors of 5925. The greatest factor of 5925 is 5925.

4. How to Find the GCF of 5920 and 5925?

Answer:

Greatest Common Factor of 5920 and 5925 = 5

Step 1: Find the prime factorization of 5920

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

Step 2: Find the prime factorization of 5925

5925 = 3 x 5 x 5 x 79

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5920 and 5925 is 5