Greatest Common Factor of 497 and 501

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, 501 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 497 and 501 is 1.

GCF(497,501) = 1

GCF of 497 and 501

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

GCF of:
and

Greatest Common Factor of 497 and 501

GCF of 497 and 501 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 501


3 501
167 167
1

Prime factors of 501 are 3,167. Prime factorization of 501 in exponential form is:

501 = 31×1671

∴ So by taking common prime factors GCF of 497 and 501 is 1

Greatest Common Factor of 497 and 501 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 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors and prime factorization of 497 and 501. The biggest common factor number is the GCF number.
So the greatest common factor 497 and 501 is 1.

Also check out the Least Common Multiple of 497 and 501

Properties of GCF 497 and 501

(i) The GCF of 497 and 501 is associative

GCF of 497 and 501 = GCF of 501 and 497

Related Greatest Common Factor of 497

Related Greatest Common Factor of 501

Frequently Asked Questions on GCF of 497 and 501

1. What is the GCF of 497 and 501?

Answer: GCF of 497 and 501 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 501?

Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.

4. How to Find the GCF of 497 and 501?

Answer:

Greatest Common Factor of 497 and 501 = 1

Step 1: Find the prime factorization of 497

497 = 7 x 71

Step 2: Find the prime factorization of 501

501 = 3 x 167

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 501 is 1