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 6385, 6390 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6385 and 6390 is 5.
GCF(6385,6390) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6385
5 | 6385 |
1277 | 1277 |
1 |
Prime factors of 6385 are 5,1277. Prime factorization of 6385 in exponential form is:
6385 = 51×12771
Prime Factorization of 6390
2 | 6390 |
3 | 3195 |
3 | 1065 |
5 | 355 |
71 | 71 |
1 |
Prime factors of 6390 are 2,3,5,71. Prime factorization of 6390 in exponential form is:
6390 = 21×32×51×711
∴ So by taking common prime factors GCF of 6385 and 6390 is 5
Factors of 6385
List of positive integer factors of 6385 that divides 6385 without a remainder.
1,5,1277,6385
Factors of 6390
List of positive integer factors of 6390 that divides 6390 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390
Greatest Common Factor
We found the factors and prime factorization of 6385 and 6390. The biggest common factor number is the GCF number.
So the greatest common factor 6385 and 6390 is 5.
Also check out the Least Common Multiple of 6385 and 6390
(i) The GCF of 6385 and 6390 is associative
GCF of 6385 and 6390 = GCF of 6390 and 6385
1. What is the GCF of 6385 and 6390?
Answer: GCF of 6385 and 6390 is 5.
2. What are the Factors of 6385?
Answer: Factors of 6385 are 1, 5, 1277, 6385. There are 4 integers that are factors of 6385. The greatest factor of 6385 is 6385.
3. What are the Factors of 6390?
Answer: Factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390. There are 24 integers that are factors of 6390. The greatest factor of 6390 is 6390.
4. How to Find the GCF of 6385 and 6390?
Answer:
Greatest Common Factor of 6385 and 6390 = 5
Step 1: Find the prime factorization of 6385
6385 = 5 x 1277
Step 2: Find the prime factorization of 6390
6390 = 2 x 3 x 3 x 5 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 6385 and 6390 is 5