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 8258, 8266 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8258 and 8266 is 2.
GCF(8258,8266) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8258
2 | 8258 |
4129 | 4129 |
1 |
Prime factors of 8258 are 2,4129. Prime factorization of 8258 in exponential form is:
8258 = 21×41291
Prime Factorization of 8266
2 | 8266 |
4133 | 4133 |
1 |
Prime factors of 8266 are 2,4133. Prime factorization of 8266 in exponential form is:
8266 = 21×41331
∴ So by taking common prime factors GCF of 8258 and 8266 is 2
Factors of 8258
List of positive integer factors of 8258 that divides 8258 without a remainder.
1,2,4129,8258
Factors of 8266
List of positive integer factors of 8266 that divides 8266 without a remainder.
1,2,4133,8266
Greatest Common Factor
We found the factors and prime factorization of 8258 and 8266. The biggest common factor number is the GCF number.
So the greatest common factor 8258 and 8266 is 2.
Also check out the Least Common Multiple of 8258 and 8266
(i) The GCF of 8258 and 8266 is associative
GCF of 8258 and 8266 = GCF of 8266 and 8258
1. What is the GCF of 8258 and 8266?
Answer: GCF of 8258 and 8266 is 2.
2. What are the Factors of 8258?
Answer: Factors of 8258 are 1, 2, 4129, 8258. There are 4 integers that are factors of 8258. The greatest factor of 8258 is 8258.
3. What are the Factors of 8266?
Answer: Factors of 8266 are 1, 2, 4133, 8266. There are 4 integers that are factors of 8266. The greatest factor of 8266 is 8266.
4. How to Find the GCF of 8258 and 8266?
Answer:
Greatest Common Factor of 8258 and 8266 = 2
Step 1: Find the prime factorization of 8258
8258 = 2 x 4129
Step 2: Find the prime factorization of 8266
8266 = 2 x 4133
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8258 and 8266 is 2