Greatest Common Factor of 8748 and 8750

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 8748, 8750 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8748 and 8750 is 2.

GCF(8748,8750) = 2

GCF of 8748 and 8750

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

GCF of:
and

Greatest Common Factor of 8748 and 8750

GCF of 8748 and 8750 is 2

Prime Factorization of 8748


2 8748
2 4374
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 8748 are 2,3. Prime factorization of 8748 in exponential form is:

8748 = 22×37

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

∴ So by taking common prime factors GCF of 8748 and 8750 is 2

Greatest Common Factor of 8748 and 8750 by matching factors method

Factors of 8748

List of positive integer factors of 8748 that divides 8748 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748

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

Greatest Common Factor

We found the factors and prime factorization of 8748 and 8750. The biggest common factor number is the GCF number.
So the greatest common factor 8748 and 8750 is 2.

Also check out the Least Common Multiple of 8748 and 8750

Properties of GCF 8748 and 8750

(i) The GCF of 8748 and 8750 is associative

GCF of 8748 and 8750 = GCF of 8750 and 8748

Related Greatest Common Factor of 8748

Related Greatest Common Factor of 8750

Frequently Asked Questions on GCF of 8748 and 8750

1. What is the GCF of 8748 and 8750?

Answer: GCF of 8748 and 8750 is 2.

2. What are the Factors of 8748?

Answer: Factors of 8748 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748. There are 24 integers that are factors of 8748. The greatest factor of 8748 is 8748.

3. 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.

4. How to Find the GCF of 8748 and 8750?

Answer:

Greatest Common Factor of 8748 and 8750 = 2

Step 1: Find the prime factorization of 8748

8748 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 8750

8750 = 2 x 5 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 = 2

Step 4: Therefore, the greatest common factor of 8748 and 8750 is 2