Greatest Common Factor of 8644 and 8652

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, 8652 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8644 and 8652 is 4.

GCF(8644,8652) = 4

GCF of 8644 and 8652

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

GCF of:
and

Greatest Common Factor of 8644 and 8652

GCF of 8644 and 8652 is 4

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 8652


2 8652
2 4326
3 2163
7 721
103 103
1

Prime factors of 8652 are 2,3,7,103. Prime factorization of 8652 in exponential form is:

8652 = 22×31×71×1031

∴ So by taking common prime factors GCF of 8644 and 8652 is 4

Greatest Common Factor of 8644 and 8652 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 8652

List of positive integer factors of 8652 that divides 8652 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652

Greatest Common Factor

We found the factors and prime factorization of 8644 and 8652. The biggest common factor number is the GCF number.
So the greatest common factor 8644 and 8652 is 4.

Also check out the Least Common Multiple of 8644 and 8652

Properties of GCF 8644 and 8652

(i) The GCF of 8644 and 8652 is associative

GCF of 8644 and 8652 = GCF of 8652 and 8644

Related Greatest Common Factor of 8644

Related Greatest Common Factor of 8652

Frequently Asked Questions on GCF of 8644 and 8652

1. What is the GCF of 8644 and 8652?

Answer: GCF of 8644 and 8652 is 4.

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 8652?

Answer: Factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652. There are 24 integers that are factors of 8652. The greatest factor of 8652 is 8652.

4. How to Find the GCF of 8644 and 8652?

Answer:

Greatest Common Factor of 8644 and 8652 = 4

Step 1: Find the prime factorization of 8644

8644 = 2 x 2 x 2161

Step 2: Find the prime factorization of 8652

8652 = 2 x 2 x 3 x 7 x 103

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 8644 and 8652 is 4