What is the Greatest Common Factor of 854 and 865?
Greatest common factor (GCF) of 854 and 865 is 1.
GCF(854,865) = 1
We will now calculate the prime factors of 854 and 865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 854 and 865.
How to find the GCF of 854 and 865?
We will first find the prime factorization of 854 and 865. After we will calculate the factors of 854 and 865 and find the biggest common factor number .
Step-1: Prime Factorization of 854
Prime factors of 854 are 2, 7, 61. Prime factorization of 854 in exponential form is:
854 = 21 × 71 × 611
Step-2: Prime Factorization of 865
Prime factors of 865 are 5, 173. Prime factorization of 865 in exponential form is:
865 = 51 × 1731
Step-3: Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427
Step-4: Factors of 865
List of positive integer factors of 865 that divides 854 without a remainder.
1, 5, 173
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 854 and 865. The biggest common factor number is the GCF number.
So the greatest common factor 854 and 865 is 1.
Also check out the Least Common Multiple of 854 and 865
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