Greatest Common Factor of 484 and 490

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 484, 490 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 484 and 490 is 2.

GCF(484,490) = 2

GCF of 484 and 490

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

GCF of:
and

Greatest Common Factor of 484 and 490

GCF of 484 and 490 is 2

Prime Factorization of 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

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

∴ So by taking common prime factors GCF of 484 and 490 is 2

Greatest Common Factor of 484 and 490 by matching factors method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

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

Greatest Common Factor

We found the factors and prime factorization of 484 and 490. The biggest common factor number is the GCF number.
So the greatest common factor 484 and 490 is 2.

Also check out the Least Common Multiple of 484 and 490

Properties of GCF 484 and 490

(i) The GCF of 484 and 490 is associative

GCF of 484 and 490 = GCF of 490 and 484

Related Greatest Common Factor of 484

Related Greatest Common Factor of 490

Frequently Asked Questions on GCF of 484 and 490

1. What is the GCF of 484 and 490?

Answer: GCF of 484 and 490 is 2.

2. What are the Factors of 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

3. 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.

4. How to Find the GCF of 484 and 490?

Answer:

Greatest Common Factor of 484 and 490 = 2

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

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 484 and 490 is 2