Greatest Common Factor of 8748 and 8756

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, 8756 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8748 and 8756 is 4.

GCF(8748,8756) = 4

GCF of 8748 and 8756

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

GCF of:
and

Greatest Common Factor of 8748 and 8756

GCF of 8748 and 8756 is 4

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 8756


2 8756
2 4378
11 2189
199 199
1

Prime factors of 8756 are 2,11,199. Prime factorization of 8756 in exponential form is:

8756 = 22×111×1991

∴ So by taking common prime factors GCF of 8748 and 8756 is 4

Greatest Common Factor of 8748 and 8756 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 8756

List of positive integer factors of 8756 that divides 8756 without a remainder.

1,2,4,11,22,44,199,398,796,2189,4378,8756

Greatest Common Factor

We found the factors and prime factorization of 8748 and 8756. The biggest common factor number is the GCF number.
So the greatest common factor 8748 and 8756 is 4.

Also check out the Least Common Multiple of 8748 and 8756

Properties of GCF 8748 and 8756

(i) The GCF of 8748 and 8756 is associative

GCF of 8748 and 8756 = GCF of 8756 and 8748

Related Greatest Common Factor of 8748

Related Greatest Common Factor of 8756

Frequently Asked Questions on GCF of 8748 and 8756

1. What is the GCF of 8748 and 8756?

Answer: GCF of 8748 and 8756 is 4.

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 8756?

Answer: Factors of 8756 are 1, 2, 4, 11, 22, 44, 199, 398, 796, 2189, 4378, 8756. There are 12 integers that are factors of 8756. The greatest factor of 8756 is 8756.

4. How to Find the GCF of 8748 and 8756?

Answer:

Greatest Common Factor of 8748 and 8756 = 4

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 8756

8756 = 2 x 2 x 11 x 199

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8748 and 8756 is 4