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 2406, 2410 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2406 and 2410 is 2.
GCF(2406,2410) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2406
2 | 2406 |
3 | 1203 |
401 | 401 |
1 |
Prime factors of 2406 are 2,3,401. Prime factorization of 2406 in exponential form is:
2406 = 21×31×4011
Prime Factorization of 2410
2 | 2410 |
5 | 1205 |
241 | 241 |
1 |
Prime factors of 2410 are 2,5,241. Prime factorization of 2410 in exponential form is:
2410 = 21×51×2411
∴ So by taking common prime factors GCF of 2406 and 2410 is 2
Factors of 2406
List of positive integer factors of 2406 that divides 2406 without a remainder.
1,2,3,6,401,802,1203,2406
Factors of 2410
List of positive integer factors of 2410 that divides 2410 without a remainder.
1,2,5,10,241,482,1205,2410
Greatest Common Factor
We found the factors and prime factorization of 2406 and 2410. The biggest common factor number is the GCF number.
So the greatest common factor 2406 and 2410 is 2.
Also check out the Least Common Multiple of 2406 and 2410
(i) The GCF of 2406 and 2410 is associative
GCF of 2406 and 2410 = GCF of 2410 and 2406
1. What is the GCF of 2406 and 2410?
Answer: GCF of 2406 and 2410 is 2.
2. What are the Factors of 2406?
Answer: Factors of 2406 are 1, 2, 3, 6, 401, 802, 1203, 2406. There are 8 integers that are factors of 2406. The greatest factor of 2406 is 2406.
3. What are the Factors of 2410?
Answer: Factors of 2410 are 1, 2, 5, 10, 241, 482, 1205, 2410. There are 8 integers that are factors of 2410. The greatest factor of 2410 is 2410.
4. How to Find the GCF of 2406 and 2410?
Answer:
Greatest Common Factor of 2406 and 2410 = 2
Step 1: Find the prime factorization of 2406
2406 = 2 x 3 x 401
Step 2: Find the prime factorization of 2410
2410 = 2 x 5 x 241
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 2406 and 2410 is 2