Greatest Common Factor of 4498 and 4506

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 4498, 4506 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4498 and 4506 is 2.

GCF(4498,4506) = 2

GCF of 4498 and 4506

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

GCF of:
and

Greatest Common Factor of 4498 and 4506

GCF of 4498 and 4506 is 2

Prime Factorization of 4498


2 4498
13 2249
173 173
1

Prime factors of 4498 are 2,13,173. Prime factorization of 4498 in exponential form is:

4498 = 21×131×1731

Prime Factorization of 4506


2 4506
3 2253
751 751
1

Prime factors of 4506 are 2,3,751. Prime factorization of 4506 in exponential form is:

4506 = 21×31×7511

∴ So by taking common prime factors GCF of 4498 and 4506 is 2

Greatest Common Factor of 4498 and 4506 by matching factors method

Factors of 4498

List of positive integer factors of 4498 that divides 4498 without a remainder.

1,2,13,26,173,346,2249,4498

Factors of 4506

List of positive integer factors of 4506 that divides 4506 without a remainder.

1,2,3,6,751,1502,2253,4506

Greatest Common Factor

We found the factors and prime factorization of 4498 and 4506. The biggest common factor number is the GCF number.
So the greatest common factor 4498 and 4506 is 2.

Also check out the Least Common Multiple of 4498 and 4506

Properties of GCF 4498 and 4506

(i) The GCF of 4498 and 4506 is associative

GCF of 4498 and 4506 = GCF of 4506 and 4498

Related Greatest Common Factor of 4498

Related Greatest Common Factor of 4506

Frequently Asked Questions on GCF of 4498 and 4506

1. What is the GCF of 4498 and 4506?

Answer: GCF of 4498 and 4506 is 2.

2. What are the Factors of 4498?

Answer: Factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498. There are 8 integers that are factors of 4498. The greatest factor of 4498 is 4498.

3. What are the Factors of 4506?

Answer: Factors of 4506 are 1, 2, 3, 6, 751, 1502, 2253, 4506. There are 8 integers that are factors of 4506. The greatest factor of 4506 is 4506.

4. How to Find the GCF of 4498 and 4506?

Answer:

Greatest Common Factor of 4498 and 4506 = 2

Step 1: Find the prime factorization of 4498

4498 = 2 x 13 x 173

Step 2: Find the prime factorization of 4506

4506 = 2 x 3 x 751

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 4498 and 4506 is 2