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 8351, 8359 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8351 and 8359 is 1.
GCF(8351,8359) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8351
7 | 8351 |
1193 | 1193 |
1 |
Prime factors of 8351 are 7,1193. Prime factorization of 8351 in exponential form is:
8351 = 71×11931
Prime Factorization of 8359
13 | 8359 |
643 | 643 |
1 |
Prime factors of 8359 are 13,643. Prime factorization of 8359 in exponential form is:
8359 = 131×6431
∴ So by taking common prime factors GCF of 8351 and 8359 is 1
Factors of 8351
List of positive integer factors of 8351 that divides 8351 without a remainder.
1,7,1193,8351
Factors of 8359
List of positive integer factors of 8359 that divides 8359 without a remainder.
1,13,643,8359
Greatest Common Factor
We found the factors and prime factorization of 8351 and 8359. The biggest common factor number is the GCF number.
So the greatest common factor 8351 and 8359 is 1.
Also check out the Least Common Multiple of 8351 and 8359
(i) The GCF of 8351 and 8359 is associative
GCF of 8351 and 8359 = GCF of 8359 and 8351
1. What is the GCF of 8351 and 8359?
Answer: GCF of 8351 and 8359 is 1.
2. What are the Factors of 8351?
Answer: Factors of 8351 are 1, 7, 1193, 8351. There are 4 integers that are factors of 8351. The greatest factor of 8351 is 8351.
3. What are the Factors of 8359?
Answer: Factors of 8359 are 1, 13, 643, 8359. There are 4 integers that are factors of 8359. The greatest factor of 8359 is 8359.
4. How to Find the GCF of 8351 and 8359?
Answer:
Greatest Common Factor of 8351 and 8359 = 1
Step 1: Find the prime factorization of 8351
8351 = 7 x 1193
Step 2: Find the prime factorization of 8359
8359 = 13 x 643
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 8351 and 8359 is 1