Greatest Common Factor of 1825 and 1829

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 1825, 1829 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1825 and 1829 is 1.

GCF(1825,1829) = 1

GCF of 1825 and 1829

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

GCF of:
and

Greatest Common Factor of 1825 and 1829

GCF of 1825 and 1829 is 1

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

Prime Factorization of 1829


31 1829
59 59
1

Prime factors of 1829 are 31,59. Prime factorization of 1829 in exponential form is:

1829 = 311×591

∴ So by taking common prime factors GCF of 1825 and 1829 is 1

Greatest Common Factor of 1825 and 1829 by matching factors method

Factors of 1825

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

1,5,25,73,365,1825

Factors of 1829

List of positive integer factors of 1829 that divides 1829 without a remainder.

1,31,59,1829

Greatest Common Factor

We found the factors and prime factorization of 1825 and 1829. The biggest common factor number is the GCF number.
So the greatest common factor 1825 and 1829 is 1.

Also check out the Least Common Multiple of 1825 and 1829

Properties of GCF 1825 and 1829

(i) The GCF of 1825 and 1829 is associative

GCF of 1825 and 1829 = GCF of 1829 and 1825

Related Greatest Common Factor of 1825

Related Greatest Common Factor of 1829

Frequently Asked Questions on GCF of 1825 and 1829

1. What is the GCF of 1825 and 1829?

Answer: GCF of 1825 and 1829 is 1.

2. 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.

3. What are the Factors of 1829?

Answer: Factors of 1829 are 1, 31, 59, 1829. There are 4 integers that are factors of 1829. The greatest factor of 1829 is 1829.

4. How to Find the GCF of 1825 and 1829?

Answer:

Greatest Common Factor of 1825 and 1829 = 1

Step 1: Find the prime factorization of 1825

1825 = 5 x 5 x 73

Step 2: Find the prime factorization of 1829

1829 = 31 x 59

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1825 and 1829 is 1