Greatest Common Factor of 1820 and 1825

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 1820, 1825 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1820 and 1825 is 5.

GCF(1820,1825) = 5

GCF of 1820 and 1825

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

GCF of:
and

Greatest Common Factor of 1820 and 1825

GCF of 1820 and 1825 is 5

Prime Factorization of 1820


2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 1820 are 2,5,7,13. Prime factorization of 1820 in exponential form is:

1820 = 22×51×71×131

Prime Factorization of 1825


5 1825
5 365
73 73
1

Prime factors of 1825 are 5,73. Prime factorization of 1825 in exponential form is:

1825 = 52×731

∴ So by taking common prime factors GCF of 1820 and 1825 is 5

Greatest Common Factor of 1820 and 1825 by matching factors method

Factors of 1820

List of positive integer factors of 1820 that divides 1820 without a remainder.

1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820

Factors of 1825

List of positive integer factors of 1825 that divides 1825 without a remainder.

1,5,25,73,365,1825

Greatest Common Factor

We found the factors and prime factorization of 1820 and 1825. The biggest common factor number is the GCF number.
So the greatest common factor 1820 and 1825 is 5.

Also check out the Least Common Multiple of 1820 and 1825

Properties of GCF 1820 and 1825

(i) The GCF of 1820 and 1825 is associative

GCF of 1820 and 1825 = GCF of 1825 and 1820

Related Greatest Common Factor of 1820

Related Greatest Common Factor of 1825

Frequently Asked Questions on GCF of 1820 and 1825

1. What is the GCF of 1820 and 1825?

Answer: GCF of 1820 and 1825 is 5.

2. What are the Factors of 1820?

Answer: Factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820. There are 24 integers that are factors of 1820. The greatest factor of 1820 is 1820.

3. What are the Factors of 1825?

Answer: Factors of 1825 are 1, 5, 25, 73, 365, 1825. There are 6 integers that are factors of 1825. The greatest factor of 1825 is 1825.

4. How to Find the GCF of 1820 and 1825?

Answer:

Greatest Common Factor of 1820 and 1825 = 5

Step 1: Find the prime factorization of 1820

1820 = 2 x 2 x 5 x 7 x 13

Step 2: Find the prime factorization of 1825

1825 = 5 x 5 x 73

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 1820 and 1825 is 5