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 6382, 6386 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6382 and 6386 is 2.
GCF(6382,6386) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6382
2 | 6382 |
3191 | 3191 |
1 |
Prime factors of 6382 are 2,3191. Prime factorization of 6382 in exponential form is:
6382 = 21×31911
Prime Factorization of 6386
2 | 6386 |
31 | 3193 |
103 | 103 |
1 |
Prime factors of 6386 are 2,31,103. Prime factorization of 6386 in exponential form is:
6386 = 21×311×1031
∴ So by taking common prime factors GCF of 6382 and 6386 is 2
Factors of 6382
List of positive integer factors of 6382 that divides 6382 without a remainder.
1,2,3191,6382
Factors of 6386
List of positive integer factors of 6386 that divides 6386 without a remainder.
1,2,31,62,103,206,3193,6386
Greatest Common Factor
We found the factors and prime factorization of 6382 and 6386. The biggest common factor number is the GCF number.
So the greatest common factor 6382 and 6386 is 2.
Also check out the Least Common Multiple of 6382 and 6386
(i) The GCF of 6382 and 6386 is associative
GCF of 6382 and 6386 = GCF of 6386 and 6382
1. What is the GCF of 6382 and 6386?
Answer: GCF of 6382 and 6386 is 2.
2. What are the Factors of 6382?
Answer: Factors of 6382 are 1, 2, 3191, 6382. There are 4 integers that are factors of 6382. The greatest factor of 6382 is 6382.
3. What are the Factors of 6386?
Answer: Factors of 6386 are 1, 2, 31, 62, 103, 206, 3193, 6386. There are 8 integers that are factors of 6386. The greatest factor of 6386 is 6386.
4. How to Find the GCF of 6382 and 6386?
Answer:
Greatest Common Factor of 6382 and 6386 = 2
Step 1: Find the prime factorization of 6382
6382 = 2 x 3191
Step 2: Find the prime factorization of 6386
6386 = 2 x 31 x 103
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 6382 and 6386 is 2