What is the Greatest Common Factor of 68405 and 68415?
Greatest common factor (GCF) of 68405 and 68415 is 5.
GCF(68405,68415) = 5
We will now calculate the prime factors of 68405 and 68415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68405 and 68415.
How to find the GCF of 68405 and 68415?
We will first find the prime factorization of 68405 and 68415. After we will calculate the factors of 68405 and 68415 and find the biggest common factor number .
Step-1: Prime Factorization of 68405
Prime factors of 68405 are 5, 13681. Prime factorization of 68405 in exponential form is:
68405 = 51 × 136811
Step-2: Prime Factorization of 68415
Prime factors of 68415 are 3, 5, 4561. Prime factorization of 68415 in exponential form is:
68415 = 31 × 51 × 45611
Step-3: Factors of 68405
List of positive integer factors of 68405 that divides 68405 without a remainder.
1, 5, 13681
Step-4: Factors of 68415
List of positive integer factors of 68415 that divides 68405 without a remainder.
1, 3, 5, 15, 4561, 13683, 22805
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68405 and 68415. The biggest common factor number is the GCF number.
So the greatest common factor 68405 and 68415 is 5.
Also check out the Least Common Multiple of 68405 and 68415
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