Greatest Common Factor of 8544 and 8547

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 8544, 8547 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8544 and 8547 is 3.

GCF(8544,8547) = 3

GCF of 8544 and 8547

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

GCF of:
and

Greatest Common Factor of 8544 and 8547

GCF of 8544 and 8547 is 3

Prime Factorization of 8544


2 8544
2 4272
2 2136
2 1068
2 534
3 267
89 89
1

Prime factors of 8544 are 2,3,89. Prime factorization of 8544 in exponential form is:

8544 = 25×31×891

Prime Factorization of 8547


3 8547
7 2849
11 407
37 37
1

Prime factors of 8547 are 3,7,11,37. Prime factorization of 8547 in exponential form is:

8547 = 31×71×111×371

∴ So by taking common prime factors GCF of 8544 and 8547 is 3

Greatest Common Factor of 8544 and 8547 by matching factors method

Factors of 8544

List of positive integer factors of 8544 that divides 8544 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544

Factors of 8547

List of positive integer factors of 8547 that divides 8547 without a remainder.

1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547

Greatest Common Factor

We found the factors and prime factorization of 8544 and 8547. The biggest common factor number is the GCF number.
So the greatest common factor 8544 and 8547 is 3.

Also check out the Least Common Multiple of 8544 and 8547

Properties of GCF 8544 and 8547

(i) The GCF of 8544 and 8547 is associative

GCF of 8544 and 8547 = GCF of 8547 and 8544

Related Greatest Common Factor of 8544

Related Greatest Common Factor of 8547

Frequently Asked Questions on GCF of 8544 and 8547

1. What is the GCF of 8544 and 8547?

Answer: GCF of 8544 and 8547 is 3.

2. What are the Factors of 8544?

Answer: Factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544. There are 24 integers that are factors of 8544. The greatest factor of 8544 is 8544.

3. What are the Factors of 8547?

Answer: Factors of 8547 are 1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849, 8547. There are 16 integers that are factors of 8547. The greatest factor of 8547 is 8547.

4. How to Find the GCF of 8544 and 8547?

Answer:

Greatest Common Factor of 8544 and 8547 = 3

Step 1: Find the prime factorization of 8544

8544 = 2 x 2 x 2 x 2 x 2 x 3 x 89

Step 2: Find the prime factorization of 8547

8547 = 3 x 7 x 11 x 37

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 8544 and 8547 is 3