Greatest Common Factor of 8748 and 8752

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, 8752 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8748 and 8752 is 4.

GCF(8748,8752) = 4

GCF of 8748 and 8752

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

GCF of:
and

Greatest Common Factor of 8748 and 8752

GCF of 8748 and 8752 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 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

∴ So by taking common prime factors GCF of 8748 and 8752 is 4

Greatest Common Factor of 8748 and 8752 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 8752

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

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

Greatest Common Factor

We found the factors and prime factorization of 8748 and 8752. The biggest common factor number is the GCF number.
So the greatest common factor 8748 and 8752 is 4.

Also check out the Least Common Multiple of 8748 and 8752

Properties of GCF 8748 and 8752

(i) The GCF of 8748 and 8752 is associative

GCF of 8748 and 8752 = GCF of 8752 and 8748

Related Greatest Common Factor of 8748

Related Greatest Common Factor of 8752

Frequently Asked Questions on GCF of 8748 and 8752

1. What is the GCF of 8748 and 8752?

Answer: GCF of 8748 and 8752 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 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.

4. How to Find the GCF of 8748 and 8752?

Answer:

Greatest Common Factor of 8748 and 8752 = 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 8752

8752 = 2 x 2 x 2 x 2 x 547

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 8752 is 4