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 8249, 8256 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8249 and 8256 is 1.
GCF(8249,8256) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8249
73 | 8249 |
113 | 113 |
1 |
Prime factors of 8249 are 73,113. Prime factorization of 8249 in exponential form is:
8249 = 731×1131
Prime Factorization of 8256
2 | 8256 |
2 | 4128 |
2 | 2064 |
2 | 1032 |
2 | 516 |
2 | 258 |
3 | 129 |
43 | 43 |
1 |
Prime factors of 8256 are 2,3,43. Prime factorization of 8256 in exponential form is:
8256 = 26×31×431
∴ So by taking common prime factors GCF of 8249 and 8256 is 1
Factors of 8249
List of positive integer factors of 8249 that divides 8249 without a remainder.
1,73,113,8249
Factors of 8256
List of positive integer factors of 8256 that divides 8256 without a remainder.
1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Greatest Common Factor
We found the factors and prime factorization of 8249 and 8256. The biggest common factor number is the GCF number.
So the greatest common factor 8249 and 8256 is 1.
Also check out the Least Common Multiple of 8249 and 8256
(i) The GCF of 8249 and 8256 is associative
GCF of 8249 and 8256 = GCF of 8256 and 8249
1. What is the GCF of 8249 and 8256?
Answer: GCF of 8249 and 8256 is 1.
2. What are the Factors of 8249?
Answer: Factors of 8249 are 1, 73, 113, 8249. There are 4 integers that are factors of 8249. The greatest factor of 8249 is 8249.
3. What are the Factors of 8256?
Answer: Factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256. There are 28 integers that are factors of 8256. The greatest factor of 8256 is 8256.
4. How to Find the GCF of 8249 and 8256?
Answer:
Greatest Common Factor of 8249 and 8256 = 1
Step 1: Find the prime factorization of 8249
8249 = 73 x 113
Step 2: Find the prime factorization of 8256
8256 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43
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 8249 and 8256 is 1