Greatest Common Factor of 4516 and 4522

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 4516, 4522 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4516 and 4522 is 2.

GCF(4516,4522) = 2

GCF of 4516 and 4522

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

GCF of:
and

Greatest Common Factor of 4516 and 4522

GCF of 4516 and 4522 is 2

Prime Factorization of 4516


2 4516
2 2258
1129 1129
1

Prime factors of 4516 are 2,1129. Prime factorization of 4516 in exponential form is:

4516 = 22×11291

Prime Factorization of 4522


2 4522
7 2261
17 323
19 19
1

Prime factors of 4522 are 2,7,17,19. Prime factorization of 4522 in exponential form is:

4522 = 21×71×171×191

∴ So by taking common prime factors GCF of 4516 and 4522 is 2

Greatest Common Factor of 4516 and 4522 by matching factors method

Factors of 4516

List of positive integer factors of 4516 that divides 4516 without a remainder.

1,2,4,1129,2258,4516

Factors of 4522

List of positive integer factors of 4522 that divides 4522 without a remainder.

1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522

Greatest Common Factor

We found the factors and prime factorization of 4516 and 4522. The biggest common factor number is the GCF number.
So the greatest common factor 4516 and 4522 is 2.

Also check out the Least Common Multiple of 4516 and 4522

Properties of GCF 4516 and 4522

(i) The GCF of 4516 and 4522 is associative

GCF of 4516 and 4522 = GCF of 4522 and 4516

Related Greatest Common Factor of 4516

Related Greatest Common Factor of 4522

Frequently Asked Questions on GCF of 4516 and 4522

1. What is the GCF of 4516 and 4522?

Answer: GCF of 4516 and 4522 is 2.

2. What are the Factors of 4516?

Answer: Factors of 4516 are 1, 2, 4, 1129, 2258, 4516. There are 6 integers that are factors of 4516. The greatest factor of 4516 is 4516.

3. What are the Factors of 4522?

Answer: Factors of 4522 are 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522. There are 16 integers that are factors of 4522. The greatest factor of 4522 is 4522.

4. How to Find the GCF of 4516 and 4522?

Answer:

Greatest Common Factor of 4516 and 4522 = 2

Step 1: Find the prime factorization of 4516

4516 = 2 x 2 x 1129

Step 2: Find the prime factorization of 4522

4522 = 2 x 7 x 17 x 19

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 4516 and 4522 is 2