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 8353, 8358 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8353 and 8358 is 1.
GCF(8353,8358) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8353
8353 | 8353 |
1 |
Prime factors of 8353 are 8353. Prime factorization of 8353 in exponential form is:
8353 = 83531
Prime Factorization of 8358
2 | 8358 |
3 | 4179 |
7 | 1393 |
199 | 199 |
1 |
Prime factors of 8358 are 2.Prime factorization of 8358 in exponential form is:
8358 = 21×31×71×1991
∴ So by taking common prime factors GCF of 8353 and 8358 is 1
Factors of 8353
List of positive integer factors of 8353 that divides 8353 without a remainder.
1,8353
Factors of 8358
List of positive integer factors of 8358 that divides 8358 without a remainder.
1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358
Greatest Common Factor
We found the factors and prime factorization of 8353 and 8358. The biggest common factor number is the GCF number.
So the greatest common factor 8353 and 8358 is 1.
Also check out the Least Common Multiple of 8353 and 8358
(i) The GCF of 8353 and 8358 is associative
GCF of 8353 and 8358 = GCF of 8358 and 8353
1. What is the GCF of 8353 and 8358?
Answer: GCF of 8353 and 8358 is 1.
2. What are the Factors of 8353?
Answer: Factors of 8353 are 1, 8353. There are 2 integers that are factors of 8353. The greatest factor of 8353 is 8353.
3. What are the Factors of 8358?
Answer: Factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358. There are 16 integers that are factors of 8358. The greatest factor of 8358 is 8358.
4. How to Find the GCF of 8353 and 8358?
Answer:
Greatest Common Factor of 8353 and 8358 = 1
Step 1: Find the prime factorization of 8353
8353 = 8353
Step 2: Find the prime factorization of 8358
8358 = 2 x 3 x 7 x 199
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 8353 and 8358 is 1