Greatest Common Factor of 485 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 485, 493 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 485 and 493 is 1.

GCF(485,493) = 1

GCF of 485 and 493

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

GCF of:
and

Greatest Common Factor of 485 and 493

GCF of 485 and 493 is 1

Prime Factorization of 485


5 485
97 97
1

Prime factors of 485 are 5,97. Prime factorization of 485 in exponential form is:

485 = 51×971

Prime Factorization of 493


17 493
29 29
1

Prime factors of 493 are 17,29. Prime factorization of 493 in exponential form is:

493 = 171×291

∴ So by taking common prime factors GCF of 485 and 493 is 1

Greatest Common Factor of 485 and 493 by matching factors method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

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 485 and 493. The biggest common factor number is the GCF number.
So the greatest common factor 485 and 493 is 1.

Also check out the Least Common Multiple of 485 and 493

Properties of GCF 485 and 493

(i) The GCF of 485 and 493 is associative

GCF of 485 and 493 = GCF of 493 and 485

Related Greatest Common Factor of 485

Related Greatest Common Factor of 493

Frequently Asked Questions on GCF of 485 and 493

1. What is the GCF of 485 and 493?

Answer: GCF of 485 and 493 is 1.

2. What are the Factors of 485?

Answer: Factors of 485 are 1, 5, 97, 485. There are 4 integers that are factors of 485. The greatest factor of 485 is 485.

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 485 and 493?

Answer:

Greatest Common Factor of 485 and 493 = 1

Step 1: Find the prime factorization of 485

485 = 5 x 97

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 485 and 493 is 1