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 864, 865 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 864 and 865 is 1.
GCF(864,865) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 864
2 | 864 |
2 | 432 |
2 | 216 |
2 | 108 |
2 | 54 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 864 are 2,3. Prime factorization of 864 in exponential form is:
864 = 25×33
Prime Factorization of 865
5 | 865 |
173 | 173 |
1 |
Prime factors of 865 are 5,173. Prime factorization of 865 in exponential form is:
865 = 51×1731
∴ So by taking common prime factors GCF of 864 and 865 is 1
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Greatest Common Factor
We found the factors and prime factorization of 864 and 865. The biggest common factor number is the GCF number.
So the greatest common factor 864 and 865 is 1.
Also check out the Least Common Multiple of 864 and 865
(i) The GCF of 864 and 865 is associative
GCF of 864 and 865 = GCF of 865 and 864
1. What is the GCF of 864 and 865?
Answer: GCF of 864 and 865 is 1.
2. What are the Factors of 864?
Answer: Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. There are 24 integers that are factors of 864. The greatest factor of 864 is 864.
3. What are the Factors of 865?
Answer: Factors of 865 are 1, 5, 173, 865. There are 4 integers that are factors of 865. The greatest factor of 865 is 865.
4. How to Find the GCF of 864 and 865?
Answer:
Greatest Common Factor of 864 and 865 = 1
Step 1: Find the prime factorization of 864
864 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Step 2: Find the prime factorization of 865
865 = 5 x 173
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 864 and 865 is 1