Greatest Common Factor of 4492 and 4498

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 4492, 4498 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4492 and 4498 is 2.

GCF(4492,4498) = 2

GCF of 4492 and 4498

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

GCF of:
and

Greatest Common Factor of 4492 and 4498

GCF of 4492 and 4498 is 2

Prime Factorization of 4492


2 4492
2 2246
1123 1123
1

Prime factors of 4492 are 2,1123. Prime factorization of 4492 in exponential form is:

4492 = 22×11231

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

∴ So by taking common prime factors GCF of 4492 and 4498 is 2

Greatest Common Factor of 4492 and 4498 by matching factors method

Factors of 4492

List of positive integer factors of 4492 that divides 4492 without a remainder.

1,2,4,1123,2246,4492

Factors of 4498

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

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

Greatest Common Factor

We found the factors and prime factorization of 4492 and 4498. The biggest common factor number is the GCF number.
So the greatest common factor 4492 and 4498 is 2.

Also check out the Least Common Multiple of 4492 and 4498

Properties of GCF 4492 and 4498

(i) The GCF of 4492 and 4498 is associative

GCF of 4492 and 4498 = GCF of 4498 and 4492

Related Greatest Common Factor of 4492

Related Greatest Common Factor of 4498

Frequently Asked Questions on GCF of 4492 and 4498

1. What is the GCF of 4492 and 4498?

Answer: GCF of 4492 and 4498 is 2.

2. What are the Factors of 4492?

Answer: Factors of 4492 are 1, 2, 4, 1123, 2246, 4492. There are 6 integers that are factors of 4492. The greatest factor of 4492 is 4492.

3. 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.

4. How to Find the GCF of 4492 and 4498?

Answer:

Greatest Common Factor of 4492 and 4498 = 2

Step 1: Find the prime factorization of 4492

4492 = 2 x 2 x 1123

Step 2: Find the prime factorization of 4498

4498 = 2 x 13 x 173

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 4492 and 4498 is 2