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 2430, 2435 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2430 and 2435 is 5.
GCF(2430,2435) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2430
2 | 2430 |
3 | 1215 |
3 | 405 |
3 | 135 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 2430 are 2,3,5. Prime factorization of 2430 in exponential form is:
2430 = 21×35×51
Prime Factorization of 2435
5 | 2435 |
487 | 487 |
1 |
Prime factors of 2435 are 5,487. Prime factorization of 2435 in exponential form is:
2435 = 51×4871
∴ So by taking common prime factors GCF of 2430 and 2435 is 5
Factors of 2430
List of positive integer factors of 2430 that divides 2430 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430
Factors of 2435
List of positive integer factors of 2435 that divides 2435 without a remainder.
1,5,487,2435
Greatest Common Factor
We found the factors and prime factorization of 2430 and 2435. The biggest common factor number is the GCF number.
So the greatest common factor 2430 and 2435 is 5.
Also check out the Least Common Multiple of 2430 and 2435
(i) The GCF of 2430 and 2435 is associative
GCF of 2430 and 2435 = GCF of 2435 and 2430
1. What is the GCF of 2430 and 2435?
Answer: GCF of 2430 and 2435 is 5.
2. What are the Factors of 2430?
Answer: Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. There are 24 integers that are factors of 2430. The greatest factor of 2430 is 2430.
3. What are the Factors of 2435?
Answer: Factors of 2435 are 1, 5, 487, 2435. There are 4 integers that are factors of 2435. The greatest factor of 2435 is 2435.
4. How to Find the GCF of 2430 and 2435?
Answer:
Greatest Common Factor of 2430 and 2435 = 5
Step 1: Find the prime factorization of 2430
2430 = 2 x 3 x 3 x 3 x 3 x 3 x 5
Step 2: Find the prime factorization of 2435
2435 = 5 x 487
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 2430 and 2435 is 5