Greatest Common Factor of 8636 and 8644

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 8636, 8644 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8636 and 8644 is 4.

GCF(8636,8644) = 4

GCF of 8636 and 8644

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

GCF of:
and

Greatest Common Factor of 8636 and 8644

GCF of 8636 and 8644 is 4

Prime Factorization of 8636


2 8636
2 4318
17 2159
127 127
1

Prime factors of 8636 are 2,17,127. Prime factorization of 8636 in exponential form is:

8636 = 22×171×1271

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

∴ So by taking common prime factors GCF of 8636 and 8644 is 4

Greatest Common Factor of 8636 and 8644 by matching factors method

Factors of 8636

List of positive integer factors of 8636 that divides 8636 without a remainder.

1,2,4,17,34,68,127,254,508,2159,4318,8636

Factors of 8644

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

1,2,4,2161,4322,8644

Greatest Common Factor

We found the factors and prime factorization of 8636 and 8644. The biggest common factor number is the GCF number.
So the greatest common factor 8636 and 8644 is 4.

Also check out the Least Common Multiple of 8636 and 8644

Properties of GCF 8636 and 8644

(i) The GCF of 8636 and 8644 is associative

GCF of 8636 and 8644 = GCF of 8644 and 8636

Related Greatest Common Factor of 8636

Related Greatest Common Factor of 8644

Frequently Asked Questions on GCF of 8636 and 8644

1. What is the GCF of 8636 and 8644?

Answer: GCF of 8636 and 8644 is 4.

2. What are the Factors of 8636?

Answer: Factors of 8636 are 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636. There are 12 integers that are factors of 8636. The greatest factor of 8636 is 8636.

3. 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.

4. How to Find the GCF of 8636 and 8644?

Answer:

Greatest Common Factor of 8636 and 8644 = 4

Step 1: Find the prime factorization of 8636

8636 = 2 x 2 x 17 x 127

Step 2: Find the prime factorization of 8644

8644 = 2 x 2 x 2161

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8636 and 8644 is 4