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 316460, 316466 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 316460 and 316466 is 2.
GCF(316460,316466) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 316460
2 | 316460 |
2 | 158230 |
5 | 79115 |
15823 | 15823 |
1 |
Prime factors of 316460 are 2,5,15823. Prime factorization of 316460 in exponential form is:
316460 = 22×51×158231
Prime Factorization of 316466
2 | 316466 |
158233 | 158233 |
1 |
Prime factors of 316466 are 2,158233. Prime factorization of 316466 in exponential form is:
316466 = 21×1582331
∴ So by taking common prime factors GCF of 316460 and 316466 is 2
Factors of 316460
List of positive integer factors of 316460 that divides 316460 without a remainder.
1,2,4,5,10,20,15823,31646,63292,79115,158230,316460
Factors of 316466
List of positive integer factors of 316466 that divides 316466 without a remainder.
1,2,158233,316466
Greatest Common Factor
We found the factors and prime factorization of 316460 and 316466. The biggest common factor number is the GCF number.
So the greatest common factor 316460 and 316466 is 2.
Also check out the Least Common Multiple of 316460 and 316466
(i) The GCF of 316460 and 316466 is associative
GCF of 316460 and 316466 = GCF of 316466 and 316460
1. What is the GCF of 316460 and 316466?
Answer: GCF of 316460 and 316466 is 2.
2. What are the Factors of 316460?
Answer: Factors of 316460 are 1, 2, 4, 5, 10, 20, 15823, 31646, 63292, 79115, 158230, 316460. There are 12 integers that are factors of 316460. The greatest factor of 316460 is 316460.
3. What are the Factors of 316466?
Answer: Factors of 316466 are 1, 2, 158233, 316466. There are 4 integers that are factors of 316466. The greatest factor of 316466 is 316466.
4. How to Find the GCF of 316460 and 316466?
Answer:
Greatest Common Factor of 316460 and 316466 = 2
Step 1: Find the prime factorization of 316460
316460 = 2 x 2 x 5 x 15823
Step 2: Find the prime factorization of 316466
316466 = 2 x 158233
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 316460 and 316466 is 2