Greatest Common Factor of 490 and 498

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 490, 498 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 490 and 498 is 2.

GCF(490,498) = 2

GCF of 490 and 498

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

GCF of:
and

Greatest Common Factor of 490 and 498

GCF of 490 and 498 is 2

Prime Factorization of 490


2 490
5 245
7 49
7 7
1

Prime factors of 490 are 2,5,7. Prime factorization of 490 in exponential form is:

490 = 21×51×72

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

∴ So by taking common prime factors GCF of 490 and 498 is 2

Greatest Common Factor of 490 and 498 by matching factors method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 498

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

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

Greatest Common Factor

We found the factors and prime factorization of 490 and 498. The biggest common factor number is the GCF number.
So the greatest common factor 490 and 498 is 2.

Also check out the Least Common Multiple of 490 and 498

Properties of GCF 490 and 498

(i) The GCF of 490 and 498 is associative

GCF of 490 and 498 = GCF of 498 and 490

Related Greatest Common Factor of 490

Related Greatest Common Factor of 498

Frequently Asked Questions on GCF of 490 and 498

1. What is the GCF of 490 and 498?

Answer: GCF of 490 and 498 is 2.

2. What are the Factors of 490?

Answer: Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. There are 12 integers that are factors of 490. The greatest factor of 490 is 490.

3. 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.

4. How to Find the GCF of 490 and 498?

Answer:

Greatest Common Factor of 490 and 498 = 2

Step 1: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 498

498 = 2 x 3 x 83

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 490 and 498 is 2