What is the Greatest Common Factor of 65345 and 65361?
Greatest common factor (GCF) of 65345 and 65361 is 1.
GCF(65345,65361) = 1
We will now calculate the prime factors of 65345 and 65361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65345 and 65361.
How to find the GCF of 65345 and 65361?
We will first find the prime factorization of 65345 and 65361. After we will calculate the factors of 65345 and 65361 and find the biggest common factor number .
Step-1: Prime Factorization of 65345
Prime factors of 65345 are 5, 7, 1867. Prime factorization of 65345 in exponential form is:
65345 = 51 × 71 × 18671
Step-2: Prime Factorization of 65361
Prime factors of 65361 are 3, 21787. Prime factorization of 65361 in exponential form is:
65361 = 31 × 217871
Step-3: Factors of 65345
List of positive integer factors of 65345 that divides 65345 without a remainder.
1, 5, 7, 35, 1867, 9335, 13069
Step-4: Factors of 65361
List of positive integer factors of 65361 that divides 65345 without a remainder.
1, 3, 21787
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65345 and 65361. The biggest common factor number is the GCF number.
So the greatest common factor 65345 and 65361 is 1.
Also check out the Least Common Multiple of 65345 and 65361
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