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 855, 856 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 855 and 856 is 1.
GCF(855,856) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 855
3 | 855 |
3 | 285 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 855 are 3,5,19. Prime factorization of 855 in exponential form is:
855 = 32×51×191
Prime Factorization of 856
2 | 856 |
2 | 428 |
2 | 214 |
107 | 107 |
1 |
Prime factors of 856 are 2,107. Prime factorization of 856 in exponential form is:
856 = 23×1071
∴ So by taking common prime factors GCF of 855 and 856 is 1
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors and prime factorization of 855 and 856. The biggest common factor number is the GCF number.
So the greatest common factor 855 and 856 is 1.
Also check out the Least Common Multiple of 855 and 856
(i) The GCF of 855 and 856 is associative
GCF of 855 and 856 = GCF of 856 and 855
1. What is the GCF of 855 and 856?
Answer: GCF of 855 and 856 is 1.
2. What are the Factors of 855?
Answer: Factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855. There are 12 integers that are factors of 855. The greatest factor of 855 is 855.
3. What are the Factors of 856?
Answer: Factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856. There are 8 integers that are factors of 856. The greatest factor of 856 is 856.
4. How to Find the GCF of 855 and 856?
Answer:
Greatest Common Factor of 855 and 856 = 1
Step 1: Find the prime factorization of 855
855 = 3 x 3 x 5 x 19
Step 2: Find the prime factorization of 856
856 = 2 x 2 x 2 x 107
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 855 and 856 is 1