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 8362, 8369 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8362 and 8369 is 1.
GCF(8362,8369) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8362
2 | 8362 |
37 | 4181 |
113 | 113 |
1 |
Prime factors of 8362 are 2,37,113. Prime factorization of 8362 in exponential form is:
8362 = 21×371×1131
Prime Factorization of 8369
8369 | 8369 |
1 |
Prime factors of 8369 are 8369. Prime factorization of 8369 in exponential form is:
8369 = 83691
∴ So by taking common prime factors GCF of 8362 and 8369 is 1
Factors of 8362
List of positive integer factors of 8362 that divides 8362 without a remainder.
1,2,37,74,113,226,4181,8362
Factors of 8369
List of positive integer factors of 8369 that divides 8369 without a remainder.
1,8369
Greatest Common Factor
We found the factors and prime factorization of 8362 and 8369. The biggest common factor number is the GCF number.
So the greatest common factor 8362 and 8369 is 1.
Also check out the Least Common Multiple of 8362 and 8369
(i) The GCF of 8362 and 8369 is associative
GCF of 8362 and 8369 = GCF of 8369 and 8362
1. What is the GCF of 8362 and 8369?
Answer: GCF of 8362 and 8369 is 1.
2. What are the Factors of 8362?
Answer: Factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362. There are 8 integers that are factors of 8362. The greatest factor of 8362 is 8362.
3. What are the Factors of 8369?
Answer: Factors of 8369 are 1, 8369. There are 2 integers that are factors of 8369. The greatest factor of 8369 is 8369.
4. How to Find the GCF of 8362 and 8369?
Answer:
Greatest Common Factor of 8362 and 8369 = 1
Step 1: Find the prime factorization of 8362
8362 = 2 x 37 x 113
Step 2: Find the prime factorization of 8369
8369 = 8369
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 8362 and 8369 is 1