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 2402, 2410 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2402 and 2410 is 2.
GCF(2402,2410) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2402
2 | 2402 |
1201 | 1201 |
1 |
Prime factors of 2402 are 2,1201. Prime factorization of 2402 in exponential form is:
2402 = 21×12011
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 2402 and 2410 is 2
Factors of 2402
List of positive integer factors of 2402 that divides 2402 without a remainder.
1,2,1201,2402
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 2402 and 2410. The biggest common factor number is the GCF number.
So the greatest common factor 2402 and 2410 is 2.
Also check out the Least Common Multiple of 2402 and 2410
(i) The GCF of 2402 and 2410 is associative
GCF of 2402 and 2410 = GCF of 2410 and 2402
1. What is the GCF of 2402 and 2410?
Answer: GCF of 2402 and 2410 is 2.
2. What are the Factors of 2402?
Answer: Factors of 2402 are 1, 2, 1201, 2402. There are 4 integers that are factors of 2402. The greatest factor of 2402 is 2402.
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 2402 and 2410?
Answer:
Greatest Common Factor of 2402 and 2410 = 2
Step 1: Find the prime factorization of 2402
2402 = 2 x 1201
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 2402 and 2410 is 2