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 316413, 316414 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 316413 and 316414 is 1.
GCF(316413,316414) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 316413
3 | 316413 |
3 | 105471 |
3 | 35157 |
11719 | 11719 |
1 |
Prime factors of 316413 are 3,11719. Prime factorization of 316413 in exponential form is:
316413 = 33×117191
Prime Factorization of 316414
2 | 316414 |
7 | 158207 |
97 | 22601 |
233 | 233 |
1 |
Prime factors of 316414 are 2,7,97,233. Prime factorization of 316414 in exponential form is:
316414 = 21×71×971×2331
∴ So by taking common prime factors GCF of 316413 and 316414 is 1
Factors of 316413
List of positive integer factors of 316413 that divides 316413 without a remainder.
1,3,9,27,11719,35157,105471,316413
Factors of 316414
List of positive integer factors of 316414 that divides 316414 without a remainder.
1,2,7,14,97,194,233,466,679,1358,1631,3262,22601,45202,158207,316414
Greatest Common Factor
We found the factors and prime factorization of 316413 and 316414. The biggest common factor number is the GCF number.
So the greatest common factor 316413 and 316414 is 1.
Also check out the Least Common Multiple of 316413 and 316414
(i) The GCF of 316413 and 316414 is associative
GCF of 316413 and 316414 = GCF of 316414 and 316413
1. What is the GCF of 316413 and 316414?
Answer: GCF of 316413 and 316414 is 1.
2. What are the Factors of 316413?
Answer: Factors of 316413 are 1, 3, 9, 27, 11719, 35157, 105471, 316413. There are 8 integers that are factors of 316413. The greatest factor of 316413 is 316413.
3. What are the Factors of 316414?
Answer: Factors of 316414 are 1, 2, 7, 14, 97, 194, 233, 466, 679, 1358, 1631, 3262, 22601, 45202, 158207, 316414. There are 16 integers that are factors of 316414. The greatest factor of 316414 is 316414.
4. How to Find the GCF of 316413 and 316414?
Answer:
Greatest Common Factor of 316413 and 316414 = 1
Step 1: Find the prime factorization of 316413
316413 = 3 x 3 x 3 x 11719
Step 2: Find the prime factorization of 316414
316414 = 2 x 7 x 97 x 233
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 316413 and 316414 is 1