Greatest Common Factor of 516 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 516, 523 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 516 and 523 is 1.

GCF(516,523) = 1

GCF of 516 and 523

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

GCF of:
and

Greatest Common Factor of 516 and 523

GCF of 516 and 523 is 1

Prime Factorization of 516


2 516
2 258
3 129
43 43
1

Prime factors of 516 are 2,3,43. Prime factorization of 516 in exponential form is:

516 = 22×31×431

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 516 and 523 is 1

Greatest Common Factor of 516 and 523 by matching factors method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

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 516 and 523. The biggest common factor number is the GCF number.
So the greatest common factor 516 and 523 is 1.

Also check out the Least Common Multiple of 516 and 523

Properties of GCF 516 and 523

(i) The GCF of 516 and 523 is associative

GCF of 516 and 523 = GCF of 523 and 516

Related Greatest Common Factor of 516

Related Greatest Common Factor of 523

Frequently Asked Questions on GCF of 516 and 523

1. What is the GCF of 516 and 523?

Answer: GCF of 516 and 523 is 1.

2. What are the Factors of 516?

Answer: Factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516. There are 12 integers that are factors of 516. The greatest factor of 516 is 516.

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 516 and 523?

Answer:

Greatest Common Factor of 516 and 523 = 1

Step 1: Find the prime factorization of 516

516 = 2 x 2 x 3 x 43

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 516 and 523 is 1