Greatest Common Factor of 2825 and 2830

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 2825, 2830 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2825 and 2830 is 5.

GCF(2825,2830) = 5

GCF of 2825 and 2830

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

GCF of:
and

Greatest Common Factor of 2825 and 2830

GCF of 2825 and 2830 is 5

Prime Factorization of 2825


5 2825
5 565
113 113
1

Prime factors of 2825 are 5,113. Prime factorization of 2825 in exponential form is:

2825 = 52×1131

Prime Factorization of 2830


2 2830
5 1415
283 283
1

Prime factors of 2830 are 2,5,283. Prime factorization of 2830 in exponential form is:

2830 = 21×51×2831

∴ So by taking common prime factors GCF of 2825 and 2830 is 5

Greatest Common Factor of 2825 and 2830 by matching factors method

Factors of 2825

List of positive integer factors of 2825 that divides 2825 without a remainder.

1,5,25,113,565,2825

Factors of 2830

List of positive integer factors of 2830 that divides 2830 without a remainder.

1,2,5,10,283,566,1415,2830

Greatest Common Factor

We found the factors and prime factorization of 2825 and 2830. The biggest common factor number is the GCF number.
So the greatest common factor 2825 and 2830 is 5.

Also check out the Least Common Multiple of 2825 and 2830

Properties of GCF 2825 and 2830

(i) The GCF of 2825 and 2830 is associative

GCF of 2825 and 2830 = GCF of 2830 and 2825

Related Greatest Common Factor of 2825

Related Greatest Common Factor of 2830

Frequently Asked Questions on GCF of 2825 and 2830

1. What is the GCF of 2825 and 2830?

Answer: GCF of 2825 and 2830 is 5.

2. What are the Factors of 2825?

Answer: Factors of 2825 are 1, 5, 25, 113, 565, 2825. There are 6 integers that are factors of 2825. The greatest factor of 2825 is 2825.

3. What are the Factors of 2830?

Answer: Factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830. There are 8 integers that are factors of 2830. The greatest factor of 2830 is 2830.

4. How to Find the GCF of 2825 and 2830?

Answer:

Greatest Common Factor of 2825 and 2830 = 5

Step 1: Find the prime factorization of 2825

2825 = 5 x 5 x 113

Step 2: Find the prime factorization of 2830

2830 = 2 x 5 x 283

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 2825 and 2830 is 5