Greatest Common Factor of 8644 and 8650

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 8644, 8650 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8644 and 8650 is 2.

GCF(8644,8650) = 2

GCF of 8644 and 8650

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

GCF of:
and

Greatest Common Factor of 8644 and 8650

GCF of 8644 and 8650 is 2

Prime Factorization of 8644


2 8644
2 4322
2161 2161
1

Prime factors of 8644 are 2,2161. Prime factorization of 8644 in exponential form is:

8644 = 22×21611

Prime Factorization of 8650


2 8650
5 4325
5 865
173 173
1

Prime factors of 8650 are 2,5,173. Prime factorization of 8650 in exponential form is:

8650 = 21×52×1731

∴ So by taking common prime factors GCF of 8644 and 8650 is 2

Greatest Common Factor of 8644 and 8650 by matching factors method

Factors of 8644

List of positive integer factors of 8644 that divides 8644 without a remainder.

1,2,4,2161,4322,8644

Factors of 8650

List of positive integer factors of 8650 that divides 8650 without a remainder.

1,2,5,10,25,50,173,346,865,1730,4325,8650

Greatest Common Factor

We found the factors and prime factorization of 8644 and 8650. The biggest common factor number is the GCF number.
So the greatest common factor 8644 and 8650 is 2.

Also check out the Least Common Multiple of 8644 and 8650

Properties of GCF 8644 and 8650

(i) The GCF of 8644 and 8650 is associative

GCF of 8644 and 8650 = GCF of 8650 and 8644

Related Greatest Common Factor of 8644

Related Greatest Common Factor of 8650

Frequently Asked Questions on GCF of 8644 and 8650

1. What is the GCF of 8644 and 8650?

Answer: GCF of 8644 and 8650 is 2.

2. What are the Factors of 8644?

Answer: Factors of 8644 are 1, 2, 4, 2161, 4322, 8644. There are 6 integers that are factors of 8644. The greatest factor of 8644 is 8644.

3. What are the Factors of 8650?

Answer: Factors of 8650 are 1, 2, 5, 10, 25, 50, 173, 346, 865, 1730, 4325, 8650. There are 12 integers that are factors of 8650. The greatest factor of 8650 is 8650.

4. How to Find the GCF of 8644 and 8650?

Answer:

Greatest Common Factor of 8644 and 8650 = 2

Step 1: Find the prime factorization of 8644

8644 = 2 x 2 x 2161

Step 2: Find the prime factorization of 8650

8650 = 2 x 5 x 5 x 173

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8644 and 8650 is 2