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 8358, 8365 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8358 and 8365 is 7.
GCF(8358,8365) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8358
2 | 8358 |
3 | 4179 |
7 | 1393 |
199 | 199 |
1 |
Prime factors of 8358 are 2,3,7,199. Prime factorization of 8358 in exponential form is:
8358 = 21×31×71×1991
Prime Factorization of 8365
5 | 8365 |
7 | 1673 |
239 | 239 |
1 |
Prime factors of 8365 are 5,7,239. Prime factorization of 8365 in exponential form is:
8365 = 51×71×2391
∴ So by taking common prime factors GCF of 8358 and 8365 is 7
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
Factors of 8365
List of positive integer factors of 8365 that divides 8365 without a remainder.
1,5,7,35,239,1195,1673,8365
Greatest Common Factor
We found the factors and prime factorization of 8358 and 8365. The biggest common factor number is the GCF number.
So the greatest common factor 8358 and 8365 is 7.
Also check out the Least Common Multiple of 8358 and 8365
(i) The GCF of 8358 and 8365 is associative
GCF of 8358 and 8365 = GCF of 8365 and 8358
1. What is the GCF of 8358 and 8365?
Answer: GCF of 8358 and 8365 is 7.
2. 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.
3. What are the Factors of 8365?
Answer: Factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365. There are 8 integers that are factors of 8365. The greatest factor of 8365 is 8365.
4. How to Find the GCF of 8358 and 8365?
Answer:
Greatest Common Factor of 8358 and 8365 = 7
Step 1: Find the prime factorization of 8358
8358 = 2 x 3 x 7 x 199
Step 2: Find the prime factorization of 8365
8365 = 5 x 7 x 239
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 8358 and 8365 is 7