What is the Greatest Common Factor of 791 and 808?
Greatest common factor (GCF) of 791 and 808 is 1.
GCF(791,808) = 1
We will now calculate the prime factors of 791 and 808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 791 and 808.
How to find the GCF of 791 and 808?
We will first find the prime factorization of 791 and 808. After we will calculate the factors of 791 and 808 and find the biggest common factor number .
Step-1: Prime Factorization of 791
Prime factors of 791 are 7, 113. Prime factorization of 791 in exponential form is:
791 = 71 × 1131
Step-2: Prime Factorization of 808
Prime factors of 808 are 2, 101. Prime factorization of 808 in exponential form is:
808 = 23 × 1011
Step-3: Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1, 7, 113
Step-4: Factors of 808
List of positive integer factors of 808 that divides 791 without a remainder.
1, 2, 4, 8, 101, 202, 404
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 791 and 808. The biggest common factor number is the GCF number.
So the greatest common factor 791 and 808 is 1.
Also check out the Least Common Multiple of 791 and 808
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