Greatest Common Factor of 490 and 497

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, 497 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 490 and 497 is 7.

GCF(490,497) = 7

GCF of 490 and 497

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

GCF of:
and

Greatest Common Factor of 490 and 497

GCF of 490 and 497 is 7

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 497


7 497
71 71
1

Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:

497 = 71×711

∴ So by taking common prime factors GCF of 490 and 497 is 7

Greatest Common Factor of 490 and 497 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 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors and prime factorization of 490 and 497. The biggest common factor number is the GCF number.
So the greatest common factor 490 and 497 is 7.

Also check out the Least Common Multiple of 490 and 497

Properties of GCF 490 and 497

(i) The GCF of 490 and 497 is associative

GCF of 490 and 497 = GCF of 497 and 490

Related Greatest Common Factor of 490

Related Greatest Common Factor of 497

Frequently Asked Questions on GCF of 490 and 497

1. What is the GCF of 490 and 497?

Answer: GCF of 490 and 497 is 7.

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 497?

Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.

4. How to Find the GCF of 490 and 497?

Answer:

Greatest Common Factor of 490 and 497 = 7

Step 1: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 497

497 = 7 x 71

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 490 and 497 is 7