Greatest Common Factor of 8745 and 8748

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 8745, 8748 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8745 and 8748 is 3.

GCF(8745,8748) = 3

GCF of 8745 and 8748

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

GCF of:
and

Greatest Common Factor of 8745 and 8748

GCF of 8745 and 8748 is 3

Prime Factorization of 8745


3 8745
5 2915
11 583
53 53
1

Prime factors of 8745 are 3,5,11,53. Prime factorization of 8745 in exponential form is:

8745 = 31×51×111×531

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

∴ So by taking common prime factors GCF of 8745 and 8748 is 3

Greatest Common Factor of 8745 and 8748 by matching factors method

Factors of 8745

List of positive integer factors of 8745 that divides 8745 without a remainder.

1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745

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

Greatest Common Factor

We found the factors and prime factorization of 8745 and 8748. The biggest common factor number is the GCF number.
So the greatest common factor 8745 and 8748 is 3.

Also check out the Least Common Multiple of 8745 and 8748

Properties of GCF 8745 and 8748

(i) The GCF of 8745 and 8748 is associative

GCF of 8745 and 8748 = GCF of 8748 and 8745

Related Greatest Common Factor of 8745

Related Greatest Common Factor of 8748

Frequently Asked Questions on GCF of 8745 and 8748

1. What is the GCF of 8745 and 8748?

Answer: GCF of 8745 and 8748 is 3.

2. What are the Factors of 8745?

Answer: Factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745. There are 16 integers that are factors of 8745. The greatest factor of 8745 is 8745.

3. 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.

4. How to Find the GCF of 8745 and 8748?

Answer:

Greatest Common Factor of 8745 and 8748 = 3

Step 1: Find the prime factorization of 8745

8745 = 3 x 5 x 11 x 53

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8745 and 8748 is 3