What is the Greatest Common Factor of 6765 and 6773?
Greatest common factor (GCF) of 6765 and 6773 is 1.
GCF(6765,6773) = 1
We will now calculate the prime factors of 6765 and 6773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6765 and 6773.
How to find the GCF of 6765 and 6773?
We will first find the prime factorization of 6765 and 6773. After we will calculate the factors of 6765 and 6773 and find the biggest common factor number .
Step-1: Prime Factorization of 6765
Prime factors of 6765 are 3, 5, 11, 41. Prime factorization of 6765 in exponential form is:
6765 = 31 × 51 × 111 × 411
Step-2: Prime Factorization of 6773
Prime factors of 6773 are 13, 521. Prime factorization of 6773 in exponential form is:
6773 = 131 × 5211
Step-3: Factors of 6765
List of positive integer factors of 6765 that divides 6765 without a remainder.
1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255
Step-4: Factors of 6773
List of positive integer factors of 6773 that divides 6765 without a remainder.
1, 13, 521
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6765 and 6773. The biggest common factor number is the GCF number.
So the greatest common factor 6765 and 6773 is 1.
Also check out the Least Common Multiple of 6765 and 6773
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