What is the Greatest Common Factor of 850 and 857?
Greatest common factor (GCF) of 850 and 857 is 1.
GCF(850,857) = 1
We will now calculate the prime factors of 850 and 857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 850 and 857.
How to find the GCF of 850 and 857?
We will first find the prime factorization of 850 and 857. After we will calculate the factors of 850 and 857 and find the biggest common factor number .
Step-1: Prime Factorization of 850
Prime factors of 850 are 2, 5, 17. Prime factorization of 850 in exponential form is:
850 = 21 × 52 × 171
Step-2: Prime Factorization of 857
Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:
857 = 8571
Step-3: Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425
Step-4: Factors of 857
List of positive integer factors of 857 that divides 850 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 850 and 857. The biggest common factor number is the GCF number.
So the greatest common factor 850 and 857 is 1.
Also check out the Least Common Multiple of 850 and 857
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