What is the Greatest Common Factor of 12009 and 12027?
Greatest common factor (GCF) of 12009 and 12027 is 3.
GCF(12009,12027) = 3
We will now calculate the prime factors of 12009 and 12027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12009 and 12027.
How to find the GCF of 12009 and 12027?
We will first find the prime factorization of 12009 and 12027. After we will calculate the factors of 12009 and 12027 and find the biggest common factor number .
Step-1: Prime Factorization of 12009
Prime factors of 12009 are 3, 4003. Prime factorization of 12009 in exponential form is:
12009 = 31 × 40031
Step-2: Prime Factorization of 12027
Prime factors of 12027 are 3, 19, 211. Prime factorization of 12027 in exponential form is:
12027 = 31 × 191 × 2111
Step-3: Factors of 12009
List of positive integer factors of 12009 that divides 12009 without a remainder.
1, 3, 4003
Step-4: Factors of 12027
List of positive integer factors of 12027 that divides 12009 without a remainder.
1, 3, 19, 57, 211, 633, 4009
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12009 and 12027. The biggest common factor number is the GCF number.
So the greatest common factor 12009 and 12027 is 3.
Also check out the Least Common Multiple of 12009 and 12027
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