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 8242, 8246 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8242 and 8246 is 2.
GCF(8242,8246) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8242
2 | 8242 |
13 | 4121 |
317 | 317 |
1 |
Prime factors of 8242 are 2,13,317. Prime factorization of 8242 in exponential form is:
8242 = 21×131×3171
Prime Factorization of 8246
2 | 8246 |
7 | 4123 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 8246 are 2,7,19,31. Prime factorization of 8246 in exponential form is:
8246 = 21×71×191×311
∴ So by taking common prime factors GCF of 8242 and 8246 is 2
Factors of 8242
List of positive integer factors of 8242 that divides 8242 without a remainder.
1,2,13,26,317,634,4121,8242
Factors of 8246
List of positive integer factors of 8246 that divides 8246 without a remainder.
1,2,7,14,19,31,38,62,133,217,266,434,589,1178,4123,8246
Greatest Common Factor
We found the factors and prime factorization of 8242 and 8246. The biggest common factor number is the GCF number.
So the greatest common factor 8242 and 8246 is 2.
Also check out the Least Common Multiple of 8242 and 8246
(i) The GCF of 8242 and 8246 is associative
GCF of 8242 and 8246 = GCF of 8246 and 8242
1. What is the GCF of 8242 and 8246?
Answer: GCF of 8242 and 8246 is 2.
2. What are the Factors of 8242?
Answer: Factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242. There are 8 integers that are factors of 8242. The greatest factor of 8242 is 8242.
3. What are the Factors of 8246?
Answer: Factors of 8246 are 1, 2, 7, 14, 19, 31, 38, 62, 133, 217, 266, 434, 589, 1178, 4123, 8246. There are 16 integers that are factors of 8246. The greatest factor of 8246 is 8246.
4. How to Find the GCF of 8242 and 8246?
Answer:
Greatest Common Factor of 8242 and 8246 = 2
Step 1: Find the prime factorization of 8242
8242 = 2 x 13 x 317
Step 2: Find the prime factorization of 8246
8246 = 2 x 7 x 19 x 31
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 8242 and 8246 is 2