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 8315, 8322 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8315 and 8322 is 1.
GCF(8315,8322) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8315
5 | 8315 |
1663 | 1663 |
1 |
Prime factors of 8315 are 5,1663. Prime factorization of 8315 in exponential form is:
8315 = 51×16631
Prime Factorization of 8322
2 | 8322 |
3 | 4161 |
19 | 1387 |
73 | 73 |
1 |
Prime factors of 8322 are 2,3,19,73. Prime factorization of 8322 in exponential form is:
8322 = 21×31×191×731
∴ So by taking common prime factors GCF of 8315 and 8322 is 1
Factors of 8315
List of positive integer factors of 8315 that divides 8315 without a remainder.
1,5,1663,8315
Factors of 8322
List of positive integer factors of 8322 that divides 8322 without a remainder.
1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322
Greatest Common Factor
We found the factors and prime factorization of 8315 and 8322. The biggest common factor number is the GCF number.
So the greatest common factor 8315 and 8322 is 1.
Also check out the Least Common Multiple of 8315 and 8322
(i) The GCF of 8315 and 8322 is associative
GCF of 8315 and 8322 = GCF of 8322 and 8315
1. What is the GCF of 8315 and 8322?
Answer: GCF of 8315 and 8322 is 1.
2. What are the Factors of 8315?
Answer: Factors of 8315 are 1, 5, 1663, 8315. There are 4 integers that are factors of 8315. The greatest factor of 8315 is 8315.
3. What are the Factors of 8322?
Answer: Factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322. There are 16 integers that are factors of 8322. The greatest factor of 8322 is 8322.
4. How to Find the GCF of 8315 and 8322?
Answer:
Greatest Common Factor of 8315 and 8322 = 1
Step 1: Find the prime factorization of 8315
8315 = 5 x 1663
Step 2: Find the prime factorization of 8322
8322 = 2 x 3 x 19 x 73
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 8315 and 8322 is 1