What is the Greatest Common Factor of 777 and 791?
Greatest common factor (GCF) of 777 and 791 is 7.
GCF(777,791) = 7
We will now calculate the prime factors of 777 and 791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 777 and 791.
How to find the GCF of 777 and 791?
We will first find the prime factorization of 777 and 791. After we will calculate the factors of 777 and 791 and find the biggest common factor number .
Step-1: Prime Factorization of 777
Prime factors of 777 are 3, 7, 37. Prime factorization of 777 in exponential form is:
777 = 31 × 71 × 371
Step-2: Prime Factorization of 791
Prime factors of 791 are 7, 113. Prime factorization of 791 in exponential form is:
791 = 71 × 1131
Step-3: Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259
Step-4: Factors of 791
List of positive integer factors of 791 that divides 777 without a remainder.
1, 7, 113
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 777 and 791. The biggest common factor number is the GCF number.
So the greatest common factor 777 and 791 is 7.
Also check out the Least Common Multiple of 777 and 791
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