Greatest Common Factor of 8643 and 8649

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 8643, 8649 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8643 and 8649 is 3.

GCF(8643,8649) = 3

GCF of 8643 and 8649

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

GCF of:
and

Greatest Common Factor of 8643 and 8649

GCF of 8643 and 8649 is 3

Prime Factorization of 8643


3 8643
43 2881
67 67
1

Prime factors of 8643 are 3,43,67. Prime factorization of 8643 in exponential form is:

8643 = 31×431×671

Prime Factorization of 8649


3 8649
3 2883
31 961
31 31
1

Prime factors of 8649 are 3,31. Prime factorization of 8649 in exponential form is:

8649 = 32×312

∴ So by taking common prime factors GCF of 8643 and 8649 is 3

Greatest Common Factor of 8643 and 8649 by matching factors method

Factors of 8643

List of positive integer factors of 8643 that divides 8643 without a remainder.

1,3,43,67,129,201,2881,8643

Factors of 8649

List of positive integer factors of 8649 that divides 8649 without a remainder.

1,3,9,31,93,279,961,2883,8649

Greatest Common Factor

We found the factors and prime factorization of 8643 and 8649. The biggest common factor number is the GCF number.
So the greatest common factor 8643 and 8649 is 3.

Also check out the Least Common Multiple of 8643 and 8649

Properties of GCF 8643 and 8649

(i) The GCF of 8643 and 8649 is associative

GCF of 8643 and 8649 = GCF of 8649 and 8643

Related Greatest Common Factor of 8643

Related Greatest Common Factor of 8649

Frequently Asked Questions on GCF of 8643 and 8649

1. What is the GCF of 8643 and 8649?

Answer: GCF of 8643 and 8649 is 3.

2. What are the Factors of 8643?

Answer: Factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643. There are 8 integers that are factors of 8643. The greatest factor of 8643 is 8643.

3. What are the Factors of 8649?

Answer: Factors of 8649 are 1, 3, 9, 31, 93, 279, 961, 2883, 8649. There are 9 integers that are factors of 8649. The greatest factor of 8649 is 8649.

4. How to Find the GCF of 8643 and 8649?

Answer:

Greatest Common Factor of 8643 and 8649 = 3

Step 1: Find the prime factorization of 8643

8643 = 3 x 43 x 67

Step 2: Find the prime factorization of 8649

8649 = 3 x 3 x 31 x 31

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 8643 and 8649 is 3