Greatest Common Factor of 8750 and 8755

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 8750, 8755 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8750 and 8755 is 5.

GCF(8750,8755) = 5

GCF of 8750 and 8755

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

GCF of:
and

Greatest Common Factor of 8750 and 8755

GCF of 8750 and 8755 is 5

Prime Factorization of 8750


2 8750
5 4375
5 875
5 175
5 35
7 7
1

Prime factors of 8750 are 2,5,7. Prime factorization of 8750 in exponential form is:

8750 = 21×54×71

Prime Factorization of 8755


5 8755
17 1751
103 103
1

Prime factors of 8755 are 5,17,103. Prime factorization of 8755 in exponential form is:

8755 = 51×171×1031

∴ So by taking common prime factors GCF of 8750 and 8755 is 5

Greatest Common Factor of 8750 and 8755 by matching factors method

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750

Factors of 8755

List of positive integer factors of 8755 that divides 8755 without a remainder.

1,5,17,85,103,515,1751,8755

Greatest Common Factor

We found the factors and prime factorization of 8750 and 8755. The biggest common factor number is the GCF number.
So the greatest common factor 8750 and 8755 is 5.

Also check out the Least Common Multiple of 8750 and 8755

Properties of GCF 8750 and 8755

(i) The GCF of 8750 and 8755 is associative

GCF of 8750 and 8755 = GCF of 8755 and 8750

Related Greatest Common Factor of 8750

Related Greatest Common Factor of 8755

Frequently Asked Questions on GCF of 8750 and 8755

1. What is the GCF of 8750 and 8755?

Answer: GCF of 8750 and 8755 is 5.

2. What are the Factors of 8750?

Answer: Factors of 8750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750. There are 20 integers that are factors of 8750. The greatest factor of 8750 is 8750.

3. What are the Factors of 8755?

Answer: Factors of 8755 are 1, 5, 17, 85, 103, 515, 1751, 8755. There are 8 integers that are factors of 8755. The greatest factor of 8755 is 8755.

4. How to Find the GCF of 8750 and 8755?

Answer:

Greatest Common Factor of 8750 and 8755 = 5

Step 1: Find the prime factorization of 8750

8750 = 2 x 5 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 8755

8755 = 5 x 17 x 103

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 8750 and 8755 is 5