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 512, 519 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 512 and 519 is 1.
GCF(512,519) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 512
2 | 512 |
2 | 256 |
2 | 128 |
2 | 64 |
2 | 32 |
2 | 16 |
2 | 8 |
2 | 4 |
2 | 2 |
1 |
Prime factors of 512 are 2. Prime factorization of 512 in exponential form is:
512 = 29
Prime Factorization of 519
3 | 519 |
173 | 173 |
1 |
Prime factors of 519 are 3.Prime factorization of 519 in exponential form is:
519 = 31×1731
∴ So by taking common prime factors GCF of 512 and 519 is 1
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors and prime factorization of 512 and 519. The biggest common factor number is the GCF number.
So the greatest common factor 512 and 519 is 1.
Also check out the Least Common Multiple of 512 and 519
(i) The GCF of 512 and 519 is associative
GCF of 512 and 519 = GCF of 519 and 512
1. What is the GCF of 512 and 519?
Answer: GCF of 512 and 519 is 1.
2. What are the Factors of 512?
Answer: Factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512. There are 10 integers that are factors of 512. The greatest factor of 512 is 512.
3. 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.
4. How to Find the GCF of 512 and 519?
Answer:
Greatest Common Factor of 512 and 519 = 1
Step 1: Find the prime factorization of 512
512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Step 2: Find the prime factorization of 519
519 = 3 x 173
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 512 and 519 is 1