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 8276, 8281 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8276 and 8281 is 1.
GCF(8276,8281) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8276
2 | 8276 |
2 | 4138 |
2069 | 2069 |
1 |
Prime factors of 8276 are 2,2069. Prime factorization of 8276 in exponential form is:
8276 = 22×20691
Prime Factorization of 8281
7 | 8281 |
7 | 1183 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 8281 are 7,13. Prime factorization of 8281 in exponential form is:
8281 = 72×132
∴ So by taking common prime factors GCF of 8276 and 8281 is 1
Factors of 8276
List of positive integer factors of 8276 that divides 8276 without a remainder.
1,2,4,2069,4138,8276
Factors of 8281
List of positive integer factors of 8281 that divides 8281 without a remainder.
1,7,13,49,91,169,637,1183,8281
Greatest Common Factor
We found the factors and prime factorization of 8276 and 8281. The biggest common factor number is the GCF number.
So the greatest common factor 8276 and 8281 is 1.
Also check out the Least Common Multiple of 8276 and 8281
(i) The GCF of 8276 and 8281 is associative
GCF of 8276 and 8281 = GCF of 8281 and 8276
1. What is the GCF of 8276 and 8281?
Answer: GCF of 8276 and 8281 is 1.
2. What are the Factors of 8276?
Answer: Factors of 8276 are 1, 2, 4, 2069, 4138, 8276. There are 6 integers that are factors of 8276. The greatest factor of 8276 is 8276.
3. What are the Factors of 8281?
Answer: Factors of 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281. There are 9 integers that are factors of 8281. The greatest factor of 8281 is 8281.
4. How to Find the GCF of 8276 and 8281?
Answer:
Greatest Common Factor of 8276 and 8281 = 1
Step 1: Find the prime factorization of 8276
8276 = 2 x 2 x 2069
Step 2: Find the prime factorization of 8281
8281 = 7 x 7 x 13 x 13
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 8276 and 8281 is 1