Greatest Common Factor of 7869 and 7875

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 7869, 7875 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7869 and 7875 is 3.

GCF(7869,7875) = 3

GCF of 7869 and 7875

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

GCF of:
and

Greatest Common Factor of 7869 and 7875

GCF of 7869 and 7875 is 3

Prime Factorization of 7869


3 7869
43 2623
61 61
1

Prime factors of 7869 are 3,43,61. Prime factorization of 7869 in exponential form is:

7869 = 31×431×611

Prime Factorization of 7875


3 7875
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 7875 are 3,5,7. Prime factorization of 7875 in exponential form is:

7875 = 32×53×71

∴ So by taking common prime factors GCF of 7869 and 7875 is 3

Greatest Common Factor of 7869 and 7875 by matching factors method

Factors of 7869

List of positive integer factors of 7869 that divides 7869 without a remainder.

1,3,43,61,129,183,2623,7869

Factors of 7875

List of positive integer factors of 7875 that divides 7875 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875

Greatest Common Factor

We found the factors and prime factorization of 7869 and 7875. The biggest common factor number is the GCF number.
So the greatest common factor 7869 and 7875 is 3.

Also check out the Least Common Multiple of 7869 and 7875

Properties of GCF 7869 and 7875

(i) The GCF of 7869 and 7875 is associative

GCF of 7869 and 7875 = GCF of 7875 and 7869

Related Greatest Common Factor of 7869

Related Greatest Common Factor of 7875

Frequently Asked Questions on GCF of 7869 and 7875

1. What is the GCF of 7869 and 7875?

Answer: GCF of 7869 and 7875 is 3.

2. What are the Factors of 7869?

Answer: Factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869. There are 8 integers that are factors of 7869. The greatest factor of 7869 is 7869.

3. What are the Factors of 7875?

Answer: Factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875. There are 24 integers that are factors of 7875. The greatest factor of 7875 is 7875.

4. How to Find the GCF of 7869 and 7875?

Answer:

Greatest Common Factor of 7869 and 7875 = 3

Step 1: Find the prime factorization of 7869

7869 = 3 x 43 x 61

Step 2: Find the prime factorization of 7875

7875 = 3 x 3 x 5 x 5 x 5 x 7

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7869 and 7875 is 3