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, 8427 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8425 and 8427 is 1.
GCF(8425,8427) = 1
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 8427
3 | 8427 |
53 | 2809 |
53 | 53 |
1 |
Prime factors of 8427 are 3,53. Prime factorization of 8427 in exponential form is:
8427 = 31×532
∴ So by taking common prime factors GCF of 8425 and 8427 is 1
Factors of 8425
List of positive integer factors of 8425 that divides 8425 without a remainder.
1,5,25,337,1685,8425
Factors of 8427
List of positive integer factors of 8427 that divides 8427 without a remainder.
1,3,53,159,2809,8427
Greatest Common Factor
We found the factors and prime factorization of 8425 and 8427. The biggest common factor number is the GCF number.
So the greatest common factor 8425 and 8427 is 1.
Also check out the Least Common Multiple of 8425 and 8427
(i) The GCF of 8425 and 8427 is associative
GCF of 8425 and 8427 = GCF of 8427 and 8425
1. What is the GCF of 8425 and 8427?
Answer: GCF of 8425 and 8427 is 1.
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 8427?
Answer: Factors of 8427 are 1, 3, 53, 159, 2809, 8427. There are 6 integers that are factors of 8427. The greatest factor of 8427 is 8427.
4. How to Find the GCF of 8425 and 8427?
Answer:
Greatest Common Factor of 8425 and 8427 = 1
Step 1: Find the prime factorization of 8425
8425 = 5 x 5 x 337
Step 2: Find the prime factorization of 8427
8427 = 3 x 53 x 53
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 8425 and 8427 is 1