# Greatest Common Factor of 517 and 523

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 517, 523 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 517 and 523 is 1.

GCF(517,523) = 1

## GCF of 517 and 523

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

GCF of:
and

### GCF of 517 and 523 is 1

Prime Factorization of 517

 11 517 47 47 1

Prime factors of 517 are 11,47. Prime factorization of 517 in exponential form is:

517 = 111×471

Prime Factorization of 523

 523 523 1

Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:

523 = 5231

∴ So by taking common prime factors GCF of 517 and 523 is 1

### Greatest Common Factor of 517 and 523 by matching factors method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors and prime factorization of 517 and 523. The biggest common factor number is the GCF number.
So the greatest common factor 517 and 523 is 1.

Also check out the Least Common Multiple of 517 and 523

### Properties of GCF 517 and 523

(i) The GCF of 517 and 523 is associative

GCF of 517 and 523 = GCF of 523 and 517

### Frequently Asked Questions on GCF of 517 and 523

1. What is the GCF of 517 and 523?

Answer: GCF of 517 and 523 is 1.

2. What are the Factors of 517?

Answer: Factors of 517 are 1, 11, 47, 517. There are 4 integers that are factors of 517. The greatest factor of 517 is 517.

3. What are the Factors of 523?

Answer: Factors of 523 are 1, 523. There are 2 integers that are factors of 523. The greatest factor of 523 is 523.

4. How to Find the GCF of 517 and 523?

Answer:

Greatest Common Factor of 517 and 523 = 1

Step 1: Find the prime factorization of 517

517 = 11 x 47

Step 2: Find the prime factorization of 523

523 = 523

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 517 and 523 is 1