What is the Greatest Common Factor of 16305 and 16317?
Greatest common factor (GCF) of 16305 and 16317 is 3.
GCF(16305,16317) = 3
We will now calculate the prime factors of 16305 and 16317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16305 and 16317.
How to find the GCF of 16305 and 16317?
We will first find the prime factorization of 16305 and 16317. After we will calculate the factors of 16305 and 16317 and find the biggest common factor number .
Step-1: Prime Factorization of 16305
Prime factors of 16305 are 3, 5, 1087. Prime factorization of 16305 in exponential form is:
16305 = 31 × 51 × 10871
Step-2: Prime Factorization of 16317
Prime factors of 16317 are 3, 7, 37. Prime factorization of 16317 in exponential form is:
16317 = 32 × 72 × 371
Step-3: Factors of 16305
List of positive integer factors of 16305 that divides 16305 without a remainder.
1, 3, 5, 15, 1087, 3261, 5435
Step-4: Factors of 16317
List of positive integer factors of 16317 that divides 16305 without a remainder.
1, 3, 7, 9, 21, 37, 49, 63, 111, 147, 259, 333, 441, 777, 1813, 2331, 5439
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16305 and 16317. The biggest common factor number is the GCF number.
So the greatest common factor 16305 and 16317 is 3.
Also check out the Least Common Multiple of 16305 and 16317
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Related Greatest Common Factors of 16317
- GCF of 16317 and 16321
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