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 1516, 1519 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1516 and 1519 is 1.
GCF(1516,1519) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1516
2 | 1516 |
2 | 758 |
379 | 379 |
1 |
Prime factors of 1516 are 2,379. Prime factorization of 1516 in exponential form is:
1516 = 22×3791
Prime Factorization of 1519
7 | 1519 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 1519 are 7,31. Prime factorization of 1519 in exponential form is:
1519 = 72×311
∴ So by taking common prime factors GCF of 1516 and 1519 is 1
Factors of 1516
List of positive integer factors of 1516 that divides 1516 without a remainder.
1,2,4,379,758,1516
Factors of 1519
List of positive integer factors of 1519 that divides 1519 without a remainder.
1,7,31,49,217,1519
Greatest Common Factor
We found the factors and prime factorization of 1516 and 1519. The biggest common factor number is the GCF number.
So the greatest common factor 1516 and 1519 is 1.
Also check out the Least Common Multiple of 1516 and 1519
(i) The GCF of 1516 and 1519 is associative
GCF of 1516 and 1519 = GCF of 1519 and 1516
1. What is the GCF of 1516 and 1519?
Answer: GCF of 1516 and 1519 is 1.
2. What are the Factors of 1516?
Answer: Factors of 1516 are 1, 2, 4, 379, 758, 1516. There are 6 integers that are factors of 1516. The greatest factor of 1516 is 1516.
3. What are the Factors of 1519?
Answer: Factors of 1519 are 1, 7, 31, 49, 217, 1519. There are 6 integers that are factors of 1519. The greatest factor of 1519 is 1519.
4. How to Find the GCF of 1516 and 1519?
Answer:
Greatest Common Factor of 1516 and 1519 = 1
Step 1: Find the prime factorization of 1516
1516 = 2 x 2 x 379
Step 2: Find the prime factorization of 1519
1519 = 7 x 7 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 1516 and 1519 is 1