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, 857 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 856 and 857 is 1.
GCF(856,857) = 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 857
857 | 857 |
1 |
Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:
857 = 8571
∴ So by taking common prime factors GCF of 856 and 857 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 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Greatest Common Factor
We found the factors and prime factorization of 856 and 857. The biggest common factor number is the GCF number.
So the greatest common factor 856 and 857 is 1.
Also check out the Least Common Multiple of 856 and 857
(i) The GCF of 856 and 857 is associative
GCF of 856 and 857 = GCF of 857 and 856
1. What is the GCF of 856 and 857?
Answer: GCF of 856 and 857 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 857?
Answer: Factors of 857 are 1, 857. There are 2 integers that are factors of 857. The greatest factor of 857 is 857.
4. How to Find the GCF of 856 and 857?
Answer:
Greatest Common Factor of 856 and 857 = 1
Step 1: Find the prime factorization of 856
856 = 2 x 2 x 2 x 107
Step 2: Find the prime factorization of 857
857 = 857
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 857 is 1