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 8275, 8278 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8275 and 8278 is 1.
GCF(8275,8278) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8275
5 | 8275 |
5 | 1655 |
331 | 331 |
1 |
Prime factors of 8275 are 5,331. Prime factorization of 8275 in exponential form is:
8275 = 52×3311
Prime Factorization of 8278
2 | 8278 |
4139 | 4139 |
1 |
Prime factors of 8278 are 2,4139. Prime factorization of 8278 in exponential form is:
8278 = 21×41391
∴ So by taking common prime factors GCF of 8275 and 8278 is 1
Factors of 8275
List of positive integer factors of 8275 that divides 8275 without a remainder.
1,5,25,331,1655,8275
Factors of 8278
List of positive integer factors of 8278 that divides 8278 without a remainder.
1,2,4139,8278
Greatest Common Factor
We found the factors and prime factorization of 8275 and 8278. The biggest common factor number is the GCF number.
So the greatest common factor 8275 and 8278 is 1.
Also check out the Least Common Multiple of 8275 and 8278
(i) The GCF of 8275 and 8278 is associative
GCF of 8275 and 8278 = GCF of 8278 and 8275
1. What is the GCF of 8275 and 8278?
Answer: GCF of 8275 and 8278 is 1.
2. What are the Factors of 8275?
Answer: Factors of 8275 are 1, 5, 25, 331, 1655, 8275. There are 6 integers that are factors of 8275. The greatest factor of 8275 is 8275.
3. What are the Factors of 8278?
Answer: Factors of 8278 are 1, 2, 4139, 8278. There are 4 integers that are factors of 8278. The greatest factor of 8278 is 8278.
4. How to Find the GCF of 8275 and 8278?
Answer:
Greatest Common Factor of 8275 and 8278 = 1
Step 1: Find the prime factorization of 8275
8275 = 5 x 5 x 331
Step 2: Find the prime factorization of 8278
8278 = 2 x 4139
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 8275 and 8278 is 1