What is the Greatest Common Factor of 857 and 869?
Greatest common factor (GCF) of 857 and 869 is 1.
GCF(857,869) = 1
We will now calculate the prime factors of 857 and 869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 857 and 869.
How to find the GCF of 857 and 869?
We will first find the prime factorization of 857 and 869. After we will calculate the factors of 857 and 869 and find the biggest common factor number .
Step-1: Prime Factorization of 857
Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:
857 = 8571
Step-2: Prime Factorization of 869
Prime factors of 869 are 11, 79. Prime factorization of 869 in exponential form is:
869 = 111 × 791
Step-3: Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1
Step-4: Factors of 869
List of positive integer factors of 869 that divides 857 without a remainder.
1, 11, 79
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 857 and 869. The biggest common factor number is the GCF number.
So the greatest common factor 857 and 869 is 1.
Also check out the Least Common Multiple of 857 and 869
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