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 8425, 8430 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8425 and 8430 is 5.
GCF(8425,8430) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8425
5 | 8425 |
5 | 1685 |
337 | 337 |
1 |
Prime factors of 8425 are 5,337. Prime factorization of 8425 in exponential form is:
8425 = 52×3371
Prime Factorization of 8430
2 | 8430 |
3 | 4215 |
5 | 1405 |
281 | 281 |
1 |
Prime factors of 8430 are 2,3,5,281. Prime factorization of 8430 in exponential form is:
8430 = 21×31×51×2811
∴ So by taking common prime factors GCF of 8425 and 8430 is 5
Factors of 8425
List of positive integer factors of 8425 that divides 8425 without a remainder.
1,5,25,337,1685,8425
Factors of 8430
List of positive integer factors of 8430 that divides 8430 without a remainder.
1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Greatest Common Factor
We found the factors and prime factorization of 8425 and 8430. The biggest common factor number is the GCF number.
So the greatest common factor 8425 and 8430 is 5.
Also check out the Least Common Multiple of 8425 and 8430
(i) The GCF of 8425 and 8430 is associative
GCF of 8425 and 8430 = GCF of 8430 and 8425
1. What is the GCF of 8425 and 8430?
Answer: GCF of 8425 and 8430 is 5.
2. What are the Factors of 8425?
Answer: Factors of 8425 are 1, 5, 25, 337, 1685, 8425. There are 6 integers that are factors of 8425. The greatest factor of 8425 is 8425.
3. What are the Factors of 8430?
Answer: Factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430. There are 16 integers that are factors of 8430. The greatest factor of 8430 is 8430.
4. How to Find the GCF of 8425 and 8430?
Answer:
Greatest Common Factor of 8425 and 8430 = 5
Step 1: Find the prime factorization of 8425
8425 = 5 x 5 x 337
Step 2: Find the prime factorization of 8430
8430 = 2 x 3 x 5 x 281
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 8425 and 8430 is 5