Greatest Common Factor of 7825 and 7830

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 7825, 7830 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7825 and 7830 is 5.

GCF(7825,7830) = 5

GCF of 7825 and 7830

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

GCF of:
and

Greatest Common Factor of 7825 and 7830

GCF of 7825 and 7830 is 5

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

Prime Factorization of 7830


2 7830
3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 7830 are 2,3,5,29. Prime factorization of 7830 in exponential form is:

7830 = 21×33×51×291

∴ So by taking common prime factors GCF of 7825 and 7830 is 5

Greatest Common Factor of 7825 and 7830 by matching factors method

Factors of 7825

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

1,5,25,313,1565,7825

Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830

Greatest Common Factor

We found the factors and prime factorization of 7825 and 7830. The biggest common factor number is the GCF number.
So the greatest common factor 7825 and 7830 is 5.

Also check out the Least Common Multiple of 7825 and 7830

Properties of GCF 7825 and 7830

(i) The GCF of 7825 and 7830 is associative

GCF of 7825 and 7830 = GCF of 7830 and 7825

Related Greatest Common Factor of 7825

Related Greatest Common Factor of 7830

Frequently Asked Questions on GCF of 7825 and 7830

1. What is the GCF of 7825 and 7830?

Answer: GCF of 7825 and 7830 is 5.

2. 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.

3. What are the Factors of 7830?

Answer: Factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830. There are 32 integers that are factors of 7830. The greatest factor of 7830 is 7830.

4. How to Find the GCF of 7825 and 7830?

Answer:

Greatest Common Factor of 7825 and 7830 = 5

Step 1: Find the prime factorization of 7825

7825 = 5 x 5 x 313

Step 2: Find the prime factorization of 7830

7830 = 2 x 3 x 3 x 3 x 5 x 29

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 7825 and 7830 is 5