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 856, 859 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 856 and 859 is 1.
GCF(856,859) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 859
859 | 859 |
1 |
Prime factors of 859 are 859. Prime factorization of 859 in exponential form is:
859 = 8591
∴ So by taking common prime factors GCF of 856 and 859 is 1
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Greatest Common Factor
We found the factors and prime factorization of 856 and 859. The biggest common factor number is the GCF number.
So the greatest common factor 856 and 859 is 1.
Also check out the Least Common Multiple of 856 and 859
(i) The GCF of 856 and 859 is associative
GCF of 856 and 859 = GCF of 859 and 856
1. What is the GCF of 856 and 859?
Answer: GCF of 856 and 859 is 1.
2. 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.
3. What are the Factors of 859?
Answer: Factors of 859 are 1, 859. There are 2 integers that are factors of 859. The greatest factor of 859 is 859.
4. How to Find the GCF of 856 and 859?
Answer:
Greatest Common Factor of 856 and 859 = 1
Step 1: Find the prime factorization of 856
856 = 2 x 2 x 2 x 107
Step 2: Find the prime factorization of 859
859 = 859
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 856 and 859 is 1