Greatest Common Factor of 487 and 493

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 487, 493 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 487 and 493 is 1.

GCF(487,493) = 1

GCF of 487 and 493

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

GCF of:
and

Greatest Common Factor of 487 and 493

GCF of 487 and 493 is 1

Prime Factorization of 487


487 487
1

Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:

487 = 4871

Prime Factorization of 493


17 493
29 29
1

Prime factors of 493 are 17.Prime factorization of 493 in exponential form is:

493 = 171×291

∴ So by taking common prime factors GCF of 487 and 493 is 1

Greatest Common Factor of 487 and 493 by matching factors method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors and prime factorization of 487 and 493. The biggest common factor number is the GCF number.
So the greatest common factor 487 and 493 is 1.

Also check out the Least Common Multiple of 487 and 493

Properties of GCF 487 and 493

(i) The GCF of 487 and 493 is associative

GCF of 487 and 493 = GCF of 493 and 487

Related Greatest Common Factor of 487

Related Greatest Common Factor of 493

Frequently Asked Questions on GCF of 487 and 493

1. What is the GCF of 487 and 493?

Answer: GCF of 487 and 493 is 1.

2. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

3. What are the Factors of 493?

Answer: Factors of 493 are 1, 17, 29, 493. There are 4 integers that are factors of 493. The greatest factor of 493 is 493.

4. How to Find the GCF of 487 and 493?

Answer:

Greatest Common Factor of 487 and 493 = 1

Step 1: Find the prime factorization of 487

487 = 487

Step 2: Find the prime factorization of 493

493 = 17 x 29

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 487 and 493 is 1