Greatest Common Factor of 7875 and 7880

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, 7880 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7875 and 7880 is 5.

GCF(7875,7880) = 5

GCF of 7875 and 7880

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

GCF of:
and

Greatest Common Factor of 7875 and 7880

GCF of 7875 and 7880 is 5

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 7880


2 7880
2 3940
2 1970
5 985
197 197
1

Prime factors of 7880 are 2,5,197. Prime factorization of 7880 in exponential form is:

7880 = 23×51×1971

∴ So by taking common prime factors GCF of 7875 and 7880 is 5

Greatest Common Factor of 7875 and 7880 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 7880

List of positive integer factors of 7880 that divides 7880 without a remainder.

1,2,4,5,8,10,20,40,197,394,788,985,1576,1970,3940,7880

Greatest Common Factor

We found the factors and prime factorization of 7875 and 7880. The biggest common factor number is the GCF number.
So the greatest common factor 7875 and 7880 is 5.

Also check out the Least Common Multiple of 7875 and 7880

Properties of GCF 7875 and 7880

(i) The GCF of 7875 and 7880 is associative

GCF of 7875 and 7880 = GCF of 7880 and 7875

Related Greatest Common Factor of 7875

Related Greatest Common Factor of 7880

Frequently Asked Questions on GCF of 7875 and 7880

1. What is the GCF of 7875 and 7880?

Answer: GCF of 7875 and 7880 is 5.

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 7880?

Answer: Factors of 7880 are 1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940, 7880. There are 16 integers that are factors of 7880. The greatest factor of 7880 is 7880.

4. How to Find the GCF of 7875 and 7880?

Answer:

Greatest Common Factor of 7875 and 7880 = 5

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 7880

7880 = 2 x 2 x 2 x 5 x 197

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 7875 and 7880 is 5