Greatest Common Factor of 7875 and 7882

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 7875, 7882 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7875 and 7882 is 7.

GCF(7875,7882) = 7

GCF of 7875 and 7882

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

GCF of:
and

Greatest Common Factor of 7875 and 7882

GCF of 7875 and 7882 is 7

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

Prime Factorization of 7882


2 7882
7 3941
563 563
1

Prime factors of 7882 are 2,7,563. Prime factorization of 7882 in exponential form is:

7882 = 21×71×5631

∴ So by taking common prime factors GCF of 7875 and 7882 is 7

Greatest Common Factor of 7875 and 7882 by matching factors method

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

Factors of 7882

List of positive integer factors of 7882 that divides 7882 without a remainder.

1,2,7,14,563,1126,3941,7882

Greatest Common Factor

We found the factors and prime factorization of 7875 and 7882. The biggest common factor number is the GCF number.
So the greatest common factor 7875 and 7882 is 7.

Also check out the Least Common Multiple of 7875 and 7882

Properties of GCF 7875 and 7882

(i) The GCF of 7875 and 7882 is associative

GCF of 7875 and 7882 = GCF of 7882 and 7875

Related Greatest Common Factor of 7875

Related Greatest Common Factor of 7882

Frequently Asked Questions on GCF of 7875 and 7882

1. What is the GCF of 7875 and 7882?

Answer: GCF of 7875 and 7882 is 7.

2. 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.

3. What are the Factors of 7882?

Answer: Factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882. There are 8 integers that are factors of 7882. The greatest factor of 7882 is 7882.

4. How to Find the GCF of 7875 and 7882?

Answer:

Greatest Common Factor of 7875 and 7882 = 7

Step 1: Find the prime factorization of 7875

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

Step 2: Find the prime factorization of 7882

7882 = 2 x 7 x 563

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7875 and 7882 is 7