Greatest Common Factor of 8516 and 8522

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 8516, 8522 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8516 and 8522 is 2.

GCF(8516,8522) = 2

GCF of 8516 and 8522

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

GCF of:
and

Greatest Common Factor of 8516 and 8522

GCF of 8516 and 8522 is 2

Prime Factorization of 8516


2 8516
2 4258
2129 2129
1

Prime factors of 8516 are 2,2129. Prime factorization of 8516 in exponential form is:

8516 = 22×21291

Prime Factorization of 8522


2 8522
4261 4261
1

Prime factors of 8522 are 2,4261. Prime factorization of 8522 in exponential form is:

8522 = 21×42611

∴ So by taking common prime factors GCF of 8516 and 8522 is 2

Greatest Common Factor of 8516 and 8522 by matching factors method

Factors of 8516

List of positive integer factors of 8516 that divides 8516 without a remainder.

1,2,4,2129,4258,8516

Factors of 8522

List of positive integer factors of 8522 that divides 8522 without a remainder.

1,2,4261,8522

Greatest Common Factor

We found the factors and prime factorization of 8516 and 8522. The biggest common factor number is the GCF number.
So the greatest common factor 8516 and 8522 is 2.

Also check out the Least Common Multiple of 8516 and 8522

Properties of GCF 8516 and 8522

(i) The GCF of 8516 and 8522 is associative

GCF of 8516 and 8522 = GCF of 8522 and 8516

Related Greatest Common Factor of 8516

Related Greatest Common Factor of 8522

Frequently Asked Questions on GCF of 8516 and 8522

1. What is the GCF of 8516 and 8522?

Answer: GCF of 8516 and 8522 is 2.

2. What are the Factors of 8516?

Answer: Factors of 8516 are 1, 2, 4, 2129, 4258, 8516. There are 6 integers that are factors of 8516. The greatest factor of 8516 is 8516.

3. What are the Factors of 8522?

Answer: Factors of 8522 are 1, 2, 4261, 8522. There are 4 integers that are factors of 8522. The greatest factor of 8522 is 8522.

4. How to Find the GCF of 8516 and 8522?

Answer:

Greatest Common Factor of 8516 and 8522 = 2

Step 1: Find the prime factorization of 8516

8516 = 2 x 2 x 2129

Step 2: Find the prime factorization of 8522

8522 = 2 x 4261

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 8516 and 8522 is 2