Greatest Common Factor of 498 and 500

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 498, 500 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 498 and 500 is 2.

GCF(498,500) = 2

GCF of 498 and 500

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

GCF of:
and

Greatest Common Factor of 498 and 500

GCF of 498 and 500 is 2

Prime Factorization of 498


2 498
3 249
83 83
1

Prime factors of 498 are 2,3,83. Prime factorization of 498 in exponential form is:

498 = 21×31×831

Prime Factorization of 500


2 500
2 250
5 125
5 25
5 5
1

Prime factors of 500 are 2,5. Prime factorization of 500 in exponential form is:

500 = 22×53

∴ So by taking common prime factors GCF of 498 and 500 is 2

Greatest Common Factor of 498 and 500 by matching factors method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors and prime factorization of 498 and 500. The biggest common factor number is the GCF number.
So the greatest common factor 498 and 500 is 2.

Also check out the Least Common Multiple of 498 and 500

Properties of GCF 498 and 500

(i) The GCF of 498 and 500 is associative

GCF of 498 and 500 = GCF of 500 and 498

Related Greatest Common Factor of 498

Related Greatest Common Factor of 500

Frequently Asked Questions on GCF of 498 and 500

1. What is the GCF of 498 and 500?

Answer: GCF of 498 and 500 is 2.

2. What are the Factors of 498?

Answer: Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. There are 8 integers that are factors of 498. The greatest factor of 498 is 498.

3. What are the Factors of 500?

Answer: Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. There are 12 integers that are factors of 500. The greatest factor of 500 is 500.

4. How to Find the GCF of 498 and 500?

Answer:

Greatest Common Factor of 498 and 500 = 2

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

Step 2: Find the prime factorization of 500

500 = 2 x 2 x 5 x 5 x 5

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 498 and 500 is 2