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 316, 319 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 316 and 319 is 1.
GCF(316,319) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 316
2 | 316 |
2 | 158 |
79 | 79 |
1 |
Prime factors of 316 are 2,79. Prime factorization of 316 in exponential form is:
316 = 22×791
Prime Factorization of 319
11 | 319 |
29 | 29 |
1 |
Prime factors of 319 are 11,29. Prime factorization of 319 in exponential form is:
319 = 111×291
∴ So by taking common prime factors GCF of 316 and 319 is 1
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Greatest Common Factor
We found the factors and prime factorization of 316 and 319. The biggest common factor number is the GCF number.
So the greatest common factor 316 and 319 is 1.
Also check out the Least Common Multiple of 316 and 319
(i) The GCF of 316 and 319 is associative
GCF of 316 and 319 = GCF of 319 and 316
1. What is the GCF of 316 and 319?
Answer: GCF of 316 and 319 is 1.
2. What are the Factors of 316?
Answer: Factors of 316 are 1, 2, 4, 79, 158, 316. There are 6 integers that are factors of 316. The greatest factor of 316 is 316.
3. What are the Factors of 319?
Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.
4. How to Find the GCF of 316 and 319?
Answer:
Greatest Common Factor of 316 and 319 = 1
Step 1: Find the prime factorization of 316
316 = 2 x 2 x 79
Step 2: Find the prime factorization of 319
319 = 11 x 29
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 316 and 319 is 1