Greatest Common Factor of 7820 and 7825

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 7820, 7825 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7820 and 7825 is 5.

GCF(7820,7825) = 5

GCF of 7820 and 7825

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

GCF of:
and

Greatest Common Factor of 7820 and 7825

GCF of 7820 and 7825 is 5

Prime Factorization of 7820


2 7820
2 3910
5 1955
17 391
23 23
1

Prime factors of 7820 are 2,5,17,23. Prime factorization of 7820 in exponential form is:

7820 = 22×51×171×231

Prime Factorization of 7825


5 7825
5 1565
313 313
1

Prime factors of 7825 are 5,313. Prime factorization of 7825 in exponential form is:

7825 = 52×3131

∴ So by taking common prime factors GCF of 7820 and 7825 is 5

Greatest Common Factor of 7820 and 7825 by matching factors method

Factors of 7820

List of positive integer factors of 7820 that divides 7820 without a remainder.

1,2,4,5,10,17,20,23,34,46,68,85,92,115,170,230,340,391,460,782,1564,1955,3910,7820

Factors of 7825

List of positive integer factors of 7825 that divides 7825 without a remainder.

1,5,25,313,1565,7825

Greatest Common Factor

We found the factors and prime factorization of 7820 and 7825. The biggest common factor number is the GCF number.
So the greatest common factor 7820 and 7825 is 5.

Also check out the Least Common Multiple of 7820 and 7825

Properties of GCF 7820 and 7825

(i) The GCF of 7820 and 7825 is associative

GCF of 7820 and 7825 = GCF of 7825 and 7820

Related Greatest Common Factor of 7820

Related Greatest Common Factor of 7825

Frequently Asked Questions on GCF of 7820 and 7825

1. What is the GCF of 7820 and 7825?

Answer: GCF of 7820 and 7825 is 5.

2. What are the Factors of 7820?

Answer: Factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820. There are 24 integers that are factors of 7820. The greatest factor of 7820 is 7820.

3. What are the Factors of 7825?

Answer: Factors of 7825 are 1, 5, 25, 313, 1565, 7825. There are 6 integers that are factors of 7825. The greatest factor of 7825 is 7825.

4. How to Find the GCF of 7820 and 7825?

Answer:

Greatest Common Factor of 7820 and 7825 = 5

Step 1: Find the prime factorization of 7820

7820 = 2 x 2 x 5 x 17 x 23

Step 2: Find the prime factorization of 7825

7825 = 5 x 5 x 313

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 7820 and 7825 is 5