Greatest Common Factor of 8752 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 8752, 8756 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8752 and 8756 is 4.

GCF(8752,8756) = 4

GCF of 8752 and 8756

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

GCF of:
and

Greatest Common Factor of 8752 and 8756

GCF of 8752 and 8756 is 4

Prime Factorization of 8752


2 8752
2 4376
2 2188
2 1094
547 547
1

Prime factors of 8752 are 2,547. Prime factorization of 8752 in exponential form is:

8752 = 24×5471

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 8752 and 8756 is 4

Greatest Common Factor of 8752 and 8756 by matching factors method

Factors of 8752

List of positive integer factors of 8752 that divides 8752 without a remainder.

1,2,4,8,16,547,1094,2188,4376,8752

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 8752 and 8756. The biggest common factor number is the GCF number.
So the greatest common factor 8752 and 8756 is 4.

Also check out the Least Common Multiple of 8752 and 8756

Properties of GCF 8752 and 8756

(i) The GCF of 8752 and 8756 is associative

GCF of 8752 and 8756 = GCF of 8756 and 8752

Related Greatest Common Factor of 8752

Related Greatest Common Factor of 8756

Frequently Asked Questions on GCF of 8752 and 8756

1. What is the GCF of 8752 and 8756?

Answer: GCF of 8752 and 8756 is 4.

2. What are the Factors of 8752?

Answer: Factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752. There are 10 integers that are factors of 8752. The greatest factor of 8752 is 8752.

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 8752 and 8756?

Answer:

Greatest Common Factor of 8752 and 8756 = 4

Step 1: Find the prime factorization of 8752

8752 = 2 x 2 x 2 x 2 x 547

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 8752 and 8756 is 4