What is the Greatest Common Factor of 18327 and 18333?
Greatest common factor (GCF) of 18327 and 18333 is 3.
GCF(18327,18333) = 3
We will now calculate the prime factors of 18327 and 18333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18327 and 18333.
How to find the GCF of 18327 and 18333?
We will first find the prime factorization of 18327 and 18333. After we will calculate the factors of 18327 and 18333 and find the biggest common factor number .
Step-1: Prime Factorization of 18327
Prime factors of 18327 are 3, 41, 149. Prime factorization of 18327 in exponential form is:
18327 = 31 × 411 × 1491
Step-2: Prime Factorization of 18333
Prime factors of 18333 are 3, 7, 97. Prime factorization of 18333 in exponential form is:
18333 = 33 × 71 × 971
Step-3: Factors of 18327
List of positive integer factors of 18327 that divides 18327 without a remainder.
1, 3, 41, 123, 149, 447, 6109
Step-4: Factors of 18333
List of positive integer factors of 18333 that divides 18327 without a remainder.
1, 3, 7, 9, 21, 27, 63, 97, 189, 291, 679, 873, 2037, 2619, 6111
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18327 and 18333. The biggest common factor number is the GCF number.
So the greatest common factor 18327 and 18333 is 3.
Also check out the Least Common Multiple of 18327 and 18333
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