Greatest Common Factor of 498 and 506

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

Greatest common factor (GCF) of 498 and 506 is 2.

GCF(498,506) = 2

GCF of 498 and 506

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

GCF of:
and

Greatest Common Factor of 498 and 506

GCF of 498 and 506 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 506


2 506
11 253
23 23
1

Prime factors of 506 are 2,11,23. Prime factorization of 506 in exponential form is:

506 = 21×111×231

∴ So by taking common prime factors GCF of 498 and 506 is 2

Greatest Common Factor of 498 and 506 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 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors and prime factorization of 498 and 506. The biggest common factor number is the GCF number.
So the greatest common factor 498 and 506 is 2.

Also check out the Least Common Multiple of 498 and 506

Properties of GCF 498 and 506

(i) The GCF of 498 and 506 is associative

GCF of 498 and 506 = GCF of 506 and 498

Related Greatest Common Factor of 498

Related Greatest Common Factor of 506

Frequently Asked Questions on GCF of 498 and 506

1. What is the GCF of 498 and 506?

Answer: GCF of 498 and 506 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 506?

Answer: Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. There are 8 integers that are factors of 506. The greatest factor of 506 is 506.

4. How to Find the GCF of 498 and 506?

Answer:

Greatest Common Factor of 498 and 506 = 2

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

Step 2: Find the prime factorization of 506

506 = 2 x 11 x 23

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 506 is 2