What is the Greatest Common Factor of 786 and 799?
Greatest common factor (GCF) of 786 and 799 is 1.
GCF(786,799) = 1
We will now calculate the prime factors of 786 and 799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 786 and 799.
How to find the GCF of 786 and 799?
We will first find the prime factorization of 786 and 799. After we will calculate the factors of 786 and 799 and find the biggest common factor number .
Step-1: Prime Factorization of 786
Prime factors of 786 are 2, 3, 131. Prime factorization of 786 in exponential form is:
786 = 21 × 31 × 1311
Step-2: Prime Factorization of 799
Prime factors of 799 are 17, 47. Prime factorization of 799 in exponential form is:
799 = 171 × 471
Step-3: Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393
Step-4: Factors of 799
List of positive integer factors of 799 that divides 786 without a remainder.
1, 17, 47
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 786 and 799. The biggest common factor number is the GCF number.
So the greatest common factor 786 and 799 is 1.
Also check out the Least Common Multiple of 786 and 799
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