Greatest Common Factor of 7870 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 7870, 7875 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7870 and 7875 is 5.

GCF(7870,7875) = 5

GCF of 7870 and 7875

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

GCF of:
and

Greatest Common Factor of 7870 and 7875

GCF of 7870 and 7875 is 5

Prime Factorization of 7870


2 7870
5 3935
787 787
1

Prime factors of 7870 are 2,5,787. Prime factorization of 7870 in exponential form is:

7870 = 21×51×7871

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 7870 and 7875 is 5

Greatest Common Factor of 7870 and 7875 by matching factors method

Factors of 7870

List of positive integer factors of 7870 that divides 7870 without a remainder.

1,2,5,10,787,1574,3935,7870

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 7870 and 7875. The biggest common factor number is the GCF number.
So the greatest common factor 7870 and 7875 is 5.

Also check out the Least Common Multiple of 7870 and 7875

Properties of GCF 7870 and 7875

(i) The GCF of 7870 and 7875 is associative

GCF of 7870 and 7875 = GCF of 7875 and 7870

Related Greatest Common Factor of 7870

Related Greatest Common Factor of 7875

Frequently Asked Questions on GCF of 7870 and 7875

1. What is the GCF of 7870 and 7875?

Answer: GCF of 7870 and 7875 is 5.

2. What are the Factors of 7870?

Answer: Factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870. There are 8 integers that are factors of 7870. The greatest factor of 7870 is 7870.

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 7870 and 7875?

Answer:

Greatest Common Factor of 7870 and 7875 = 5

Step 1: Find the prime factorization of 7870

7870 = 2 x 5 x 787

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 = 5

Step 4: Therefore, the greatest common factor of 7870 and 7875 is 5