Greatest Common Factor of 519 and 524

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 519, 524 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 519 and 524 is 1.

GCF(519,524) = 1

GCF of 519 and 524

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

GCF of:
and

Greatest Common Factor of 519 and 524

GCF of 519 and 524 is 1

Prime Factorization of 519


3 519
173 173
1

Prime factors of 519 are 3,173. Prime factorization of 519 in exponential form is:

519 = 31×1731

Prime Factorization of 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

∴ So by taking common prime factors GCF of 519 and 524 is 1

Greatest Common Factor of 519 and 524 by matching factors method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors and prime factorization of 519 and 524. The biggest common factor number is the GCF number.
So the greatest common factor 519 and 524 is 1.

Also check out the Least Common Multiple of 519 and 524

Properties of GCF 519 and 524

(i) The GCF of 519 and 524 is associative

GCF of 519 and 524 = GCF of 524 and 519

Related Greatest Common Factor of 519

Related Greatest Common Factor of 524

Frequently Asked Questions on GCF of 519 and 524

1. What is the GCF of 519 and 524?

Answer: GCF of 519 and 524 is 1.

2. What are the Factors of 519?

Answer: Factors of 519 are 1, 3, 173, 519. There are 4 integers that are factors of 519. The greatest factor of 519 is 519.

3. What are the Factors of 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

4. How to Find the GCF of 519 and 524?

Answer:

Greatest Common Factor of 519 and 524 = 1

Step 1: Find the prime factorization of 519

519 = 3 x 173

Step 2: Find the prime factorization of 524

524 = 2 x 2 x 131

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 519 and 524 is 1