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, 318 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 316 and 318 is 2.
GCF(316,318) = 2
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 318
2 | 318 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 318 are 2,3,53. Prime factorization of 318 in exponential form is:
318 = 21×31×531
∴ So by taking common prime factors GCF of 316 and 318 is 2
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors and prime factorization of 316 and 318. The biggest common factor number is the GCF number.
So the greatest common factor 316 and 318 is 2.
Also check out the Least Common Multiple of 316 and 318
(i) The GCF of 316 and 318 is associative
GCF of 316 and 318 = GCF of 318 and 316
1. What is the GCF of 316 and 318?
Answer: GCF of 316 and 318 is 2.
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 318?
Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.
4. How to Find the GCF of 316 and 318?
Answer:
Greatest Common Factor of 316 and 318 = 2
Step 1: Find the prime factorization of 316
316 = 2 x 2 x 79
Step 2: Find the prime factorization of 318
318 = 2 x 3 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 316 and 318 is 2