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 8427, 8435 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8427 and 8435 is 1.
GCF(8427,8435) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8435
5 | 8435 |
7 | 1687 |
241 | 241 |
1 |
Prime factors of 8435 are 5,7,241. Prime factorization of 8435 in exponential form is:
8435 = 51×71×2411
∴ So by taking common prime factors GCF of 8427 and 8435 is 1
Factors of 8427
List of positive integer factors of 8427 that divides 8427 without a remainder.
1,3,53,159,2809,8427
Factors of 8435
List of positive integer factors of 8435 that divides 8435 without a remainder.
1,5,7,35,241,1205,1687,8435
Greatest Common Factor
We found the factors and prime factorization of 8427 and 8435. The biggest common factor number is the GCF number.
So the greatest common factor 8427 and 8435 is 1.
Also check out the Least Common Multiple of 8427 and 8435
(i) The GCF of 8427 and 8435 is associative
GCF of 8427 and 8435 = GCF of 8435 and 8427
1. What is the GCF of 8427 and 8435?
Answer: GCF of 8427 and 8435 is 1.
2. 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.
3. What are the Factors of 8435?
Answer: Factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435. There are 8 integers that are factors of 8435. The greatest factor of 8435 is 8435.
4. How to Find the GCF of 8427 and 8435?
Answer:
Greatest Common Factor of 8427 and 8435 = 1
Step 1: Find the prime factorization of 8427
8427 = 3 x 53 x 53
Step 2: Find the prime factorization of 8435
8435 = 5 x 7 x 241
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 8427 and 8435 is 1