What is the Greatest Common Factor of 66081 and 66099?
Greatest common factor (GCF) of 66081 and 66099 is 3.
GCF(66081,66099) = 3
We will now calculate the prime factors of 66081 and 66099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66081 and 66099.
How to find the GCF of 66081 and 66099?
We will first find the prime factorization of 66081 and 66099. After we will calculate the factors of 66081 and 66099 and find the biggest common factor number .
Step-1: Prime Factorization of 66081
Prime factors of 66081 are 3, 22027. Prime factorization of 66081 in exponential form is:
66081 = 31 × 220271
Step-2: Prime Factorization of 66099
Prime factors of 66099 are 3, 11, 2003. Prime factorization of 66099 in exponential form is:
66099 = 31 × 111 × 20031
Step-3: Factors of 66081
List of positive integer factors of 66081 that divides 66081 without a remainder.
1, 3, 22027
Step-4: Factors of 66099
List of positive integer factors of 66099 that divides 66081 without a remainder.
1, 3, 11, 33, 2003, 6009, 22033
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66081 and 66099. The biggest common factor number is the GCF number.
So the greatest common factor 66081 and 66099 is 3.
Also check out the Least Common Multiple of 66081 and 66099
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