Greatest Common Factor of 8748 and 8754

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, 8754 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8748 and 8754 is 6.

GCF(8748,8754) = 6

GCF of 8748 and 8754

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

GCF of:
and

Greatest Common Factor of 8748 and 8754

GCF of 8748 and 8754 is 6

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 8754


2 8754
3 4377
1459 1459
1

Prime factors of 8754 are 2,3,1459. Prime factorization of 8754 in exponential form is:

8754 = 21×31×14591

∴ So by taking common prime factors GCF of 8748 and 8754 is 6

Greatest Common Factor of 8748 and 8754 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 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1,2,3,6,1459,2918,4377,8754

Greatest Common Factor

We found the factors and prime factorization of 8748 and 8754. The biggest common factor number is the GCF number.
So the greatest common factor 8748 and 8754 is 6.

Also check out the Least Common Multiple of 8748 and 8754

Properties of GCF 8748 and 8754

(i) The GCF of 8748 and 8754 is associative

GCF of 8748 and 8754 = GCF of 8754 and 8748

Related Greatest Common Factor of 8748

Related Greatest Common Factor of 8754

Frequently Asked Questions on GCF of 8748 and 8754

1. What is the GCF of 8748 and 8754?

Answer: GCF of 8748 and 8754 is 6.

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 8754?

Answer: Factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754. There are 8 integers that are factors of 8754. The greatest factor of 8754 is 8754.

4. How to Find the GCF of 8748 and 8754?

Answer:

Greatest Common Factor of 8748 and 8754 = 6

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 8754

8754 = 2 x 3 x 1459

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8748 and 8754 is 6