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 8348, 8354 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8348 and 8354 is 2.
GCF(8348,8354) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8348
2 | 8348 |
2 | 4174 |
2087 | 2087 |
1 |
Prime factors of 8348 are 2,2087. Prime factorization of 8348 in exponential form is:
8348 = 22×20871
Prime Factorization of 8354
2 | 8354 |
4177 | 4177 |
1 |
Prime factors of 8354 are 2,4177. Prime factorization of 8354 in exponential form is:
8354 = 21×41771
∴ So by taking common prime factors GCF of 8348 and 8354 is 2
Factors of 8348
List of positive integer factors of 8348 that divides 8348 without a remainder.
1,2,4,2087,4174,8348
Factors of 8354
List of positive integer factors of 8354 that divides 8354 without a remainder.
1,2,4177,8354
Greatest Common Factor
We found the factors and prime factorization of 8348 and 8354. The biggest common factor number is the GCF number.
So the greatest common factor 8348 and 8354 is 2.
Also check out the Least Common Multiple of 8348 and 8354
(i) The GCF of 8348 and 8354 is associative
GCF of 8348 and 8354 = GCF of 8354 and 8348
1. What is the GCF of 8348 and 8354?
Answer: GCF of 8348 and 8354 is 2.
2. What are the Factors of 8348?
Answer: Factors of 8348 are 1, 2, 4, 2087, 4174, 8348. There are 6 integers that are factors of 8348. The greatest factor of 8348 is 8348.
3. What are the Factors of 8354?
Answer: Factors of 8354 are 1, 2, 4177, 8354. There are 4 integers that are factors of 8354. The greatest factor of 8354 is 8354.
4. How to Find the GCF of 8348 and 8354?
Answer:
Greatest Common Factor of 8348 and 8354 = 2
Step 1: Find the prime factorization of 8348
8348 = 2 x 2 x 2087
Step 2: Find the prime factorization of 8354
8354 = 2 x 4177
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8348 and 8354 is 2