Greatest Common Factor of 523 and 527

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 523, 527 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 523 and 527 is 1.

GCF(523,527) = 1

GCF of 523 and 527

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

GCF of:
and

Greatest Common Factor of 523 and 527

GCF of 523 and 527 is 1

Prime Factorization of 523


523 523
1

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

523 = 5231

Prime Factorization of 527


17 527
31 31
1

Prime factors of 527 are 17.Prime factorization of 527 in exponential form is:

527 = 171×311

∴ So by taking common prime factors GCF of 523 and 527 is 1

Greatest Common Factor of 523 and 527 by matching factors method

Factors of 523

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

1,523

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors and prime factorization of 523 and 527. The biggest common factor number is the GCF number.
So the greatest common factor 523 and 527 is 1.

Also check out the Least Common Multiple of 523 and 527

Properties of GCF 523 and 527

(i) The GCF of 523 and 527 is associative

GCF of 523 and 527 = GCF of 527 and 523

Related Greatest Common Factor of 523

Related Greatest Common Factor of 527

Frequently Asked Questions on GCF of 523 and 527

1. What is the GCF of 523 and 527?

Answer: GCF of 523 and 527 is 1.

2. 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.

3. What are the Factors of 527?

Answer: Factors of 527 are 1, 17, 31, 527. There are 4 integers that are factors of 527. The greatest factor of 527 is 527.

4. How to Find the GCF of 523 and 527?

Answer:

Greatest Common Factor of 523 and 527 = 1

Step 1: Find the prime factorization of 523

523 = 523

Step 2: Find the prime factorization of 527

527 = 17 x 31

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 523 and 527 is 1