What is the Greatest Common Factor of 765 and 777?
Greatest common factor (GCF) of 765 and 777 is 3.
GCF(765,777) = 3
We will now calculate the prime factors of 765 and 777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 765 and 777.
How to find the GCF of 765 and 777?
We will first find the prime factorization of 765 and 777. After we will calculate the factors of 765 and 777 and find the biggest common factor number .
Step-1: Prime Factorization of 765
Prime factors of 765 are 3, 5, 17. Prime factorization of 765 in exponential form is:
765 = 32 × 51 × 171
Step-2: 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-3: Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255
Step-4: Factors of 777
List of positive integer factors of 777 that divides 765 without a remainder.
1, 3, 7, 21, 37, 111, 259
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 765 and 777. The biggest common factor number is the GCF number.
So the greatest common factor 765 and 777 is 3.
Also check out the Least Common Multiple of 765 and 777
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Related Greatest Common Factors of 777
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