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 8257, 8262 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8257 and 8262 is 1.
GCF(8257,8262) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8257
23 | 8257 |
359 | 359 |
1 |
Prime factors of 8257 are 23,359. Prime factorization of 8257 in exponential form is:
8257 = 231×3591
Prime Factorization of 8262
2 | 8262 |
3 | 4131 |
3 | 1377 |
3 | 459 |
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 8262 are 2,3,17. Prime factorization of 8262 in exponential form is:
8262 = 21×35×171
∴ So by taking common prime factors GCF of 8257 and 8262 is 1
Factors of 8257
List of positive integer factors of 8257 that divides 8257 without a remainder.
1,23,359,8257
Factors of 8262
List of positive integer factors of 8262 that divides 8262 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Greatest Common Factor
We found the factors and prime factorization of 8257 and 8262. The biggest common factor number is the GCF number.
So the greatest common factor 8257 and 8262 is 1.
Also check out the Least Common Multiple of 8257 and 8262
(i) The GCF of 8257 and 8262 is associative
GCF of 8257 and 8262 = GCF of 8262 and 8257
1. What is the GCF of 8257 and 8262?
Answer: GCF of 8257 and 8262 is 1.
2. What are the Factors of 8257?
Answer: Factors of 8257 are 1, 23, 359, 8257. There are 4 integers that are factors of 8257. The greatest factor of 8257 is 8257.
3. What are the Factors of 8262?
Answer: Factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262. There are 24 integers that are factors of 8262. The greatest factor of 8262 is 8262.
4. How to Find the GCF of 8257 and 8262?
Answer:
Greatest Common Factor of 8257 and 8262 = 1
Step 1: Find the prime factorization of 8257
8257 = 23 x 359
Step 2: Find the prime factorization of 8262
8262 = 2 x 3 x 3 x 3 x 3 x 3 x 17
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 8257 and 8262 is 1