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 1425, 1430 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1425 and 1430 is 5.
GCF(1425,1430) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1425
3 | 1425 |
5 | 475 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 1425 are 3,5,19. Prime factorization of 1425 in exponential form is:
1425 = 31×52×191
Prime Factorization of 1430
2 | 1430 |
5 | 715 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 1430 are 2,5,11,13. Prime factorization of 1430 in exponential form is:
1430 = 21×51×111×131
∴ So by taking common prime factors GCF of 1425 and 1430 is 5
Factors of 1425
List of positive integer factors of 1425 that divides 1425 without a remainder.
1,3,5,15,19,25,57,75,95,285,475,1425
Factors of 1430
List of positive integer factors of 1430 that divides 1430 without a remainder.
1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Greatest Common Factor
We found the factors and prime factorization of 1425 and 1430. The biggest common factor number is the GCF number.
So the greatest common factor 1425 and 1430 is 5.
Also check out the Least Common Multiple of 1425 and 1430
(i) The GCF of 1425 and 1430 is associative
GCF of 1425 and 1430 = GCF of 1430 and 1425
1. What is the GCF of 1425 and 1430?
Answer: GCF of 1425 and 1430 is 5.
2. What are the Factors of 1425?
Answer: Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425. There are 12 integers that are factors of 1425. The greatest factor of 1425 is 1425.
3. What are the Factors of 1430?
Answer: Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430. There are 16 integers that are factors of 1430. The greatest factor of 1430 is 1430.
4. How to Find the GCF of 1425 and 1430?
Answer:
Greatest Common Factor of 1425 and 1430 = 5
Step 1: Find the prime factorization of 1425
1425 = 3 x 5 x 5 x 19
Step 2: Find the prime factorization of 1430
1430 = 2 x 5 x 11 x 13
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 1425 and 1430 is 5