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 316402, 316410 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 316402 and 316410 is 2.
GCF(316402,316410) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 316402
2 | 316402 |
158201 | 158201 |
1 |
Prime factors of 316402 are 2,158201. Prime factorization of 316402 in exponential form is:
316402 = 21×1582011
Prime Factorization of 316410
2 | 316410 |
3 | 158205 |
5 | 52735 |
53 | 10547 |
199 | 199 |
1 |
Prime factors of 316410 are 2,3,5,53,199. Prime factorization of 316410 in exponential form is:
316410 = 21×31×51×531×1991
∴ So by taking common prime factors GCF of 316402 and 316410 is 2
Factors of 316402
List of positive integer factors of 316402 that divides 316402 without a remainder.
1,2,158201,316402
Factors of 316410
List of positive integer factors of 316410 that divides 316410 without a remainder.
1,2,3,5,6,10,15,30,53,106,159,199,265,318,398,530,597,795,995,1194,1590,1990,2985,5970,10547,21094,31641,52735,63282,105470,158205,316410
Greatest Common Factor
We found the factors and prime factorization of 316402 and 316410. The biggest common factor number is the GCF number.
So the greatest common factor 316402 and 316410 is 2.
Also check out the Least Common Multiple of 316402 and 316410
(i) The GCF of 316402 and 316410 is associative
GCF of 316402 and 316410 = GCF of 316410 and 316402
1. What is the GCF of 316402 and 316410?
Answer: GCF of 316402 and 316410 is 2.
2. What are the Factors of 316402?
Answer: Factors of 316402 are 1, 2, 158201, 316402. There are 4 integers that are factors of 316402. The greatest factor of 316402 is 316402.
3. What are the Factors of 316410?
Answer: Factors of 316410 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 199, 265, 318, 398, 530, 597, 795, 995, 1194, 1590, 1990, 2985, 5970, 10547, 21094, 31641, 52735, 63282, 105470, 158205, 316410. There are 32 integers that are factors of 316410. The greatest factor of 316410 is 316410.
4. How to Find the GCF of 316402 and 316410?
Answer:
Greatest Common Factor of 316402 and 316410 = 2
Step 1: Find the prime factorization of 316402
316402 = 2 x 158201
Step 2: Find the prime factorization of 316410
316410 = 2 x 3 x 5 x 53 x 199
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 316402 and 316410 is 2