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 8418, 8425 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8418 and 8425 is 1.
GCF(8418,8425) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8418
2 | 8418 |
3 | 4209 |
23 | 1403 |
61 | 61 |
1 |
Prime factors of 8418 are 2,3,23,61. Prime factorization of 8418 in exponential form is:
8418 = 21×31×231×611
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
∴ So by taking common prime factors GCF of 8418 and 8425 is 1
Factors of 8418
List of positive integer factors of 8418 that divides 8418 without a remainder.
1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418
Factors of 8425
List of positive integer factors of 8425 that divides 8425 without a remainder.
1,5,25,337,1685,8425
Greatest Common Factor
We found the factors and prime factorization of 8418 and 8425. The biggest common factor number is the GCF number.
So the greatest common factor 8418 and 8425 is 1.
Also check out the Least Common Multiple of 8418 and 8425
(i) The GCF of 8418 and 8425 is associative
GCF of 8418 and 8425 = GCF of 8425 and 8418
1. What is the GCF of 8418 and 8425?
Answer: GCF of 8418 and 8425 is 1.
2. What are the Factors of 8418?
Answer: Factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418. There are 16 integers that are factors of 8418. The greatest factor of 8418 is 8418.
3. 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.
4. How to Find the GCF of 8418 and 8425?
Answer:
Greatest Common Factor of 8418 and 8425 = 1
Step 1: Find the prime factorization of 8418
8418 = 2 x 3 x 23 x 61
Step 2: Find the prime factorization of 8425
8425 = 5 x 5 x 337
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8418 and 8425 is 1