Greatest Common Factor of 497 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 497, 500 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 497 and 500 is 1.

GCF(497,500) = 1

GCF of 497 and 500

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

GCF of:
and

Greatest Common Factor of 497 and 500

GCF of 497 and 500 is 1

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

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 497 and 500 is 1

Greatest Common Factor of 497 and 500 by matching factors method

Factors of 497

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

1,7,71,497

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 497 and 500. The biggest common factor number is the GCF number.
So the greatest common factor 497 and 500 is 1.

Also check out the Least Common Multiple of 497 and 500

Properties of GCF 497 and 500

(i) The GCF of 497 and 500 is associative

GCF of 497 and 500 = GCF of 500 and 497

Related Greatest Common Factor of 497

Related Greatest Common Factor of 500

Frequently Asked Questions on GCF of 497 and 500

1. What is the GCF of 497 and 500?

Answer: GCF of 497 and 500 is 1.

2. 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.

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 497 and 500?

Answer:

Greatest Common Factor of 497 and 500 = 1

Step 1: Find the prime factorization of 497

497 = 7 x 71

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 = = 1

Step 4: Therefore, the greatest common factor of 497 and 500 is 1