What is the Greatest Common Factor of 12189 and 12207?
Greatest common factor (GCF) of 12189 and 12207 is 3.
GCF(12189,12207) = 3
We will now calculate the prime factors of 12189 and 12207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12189 and 12207.
How to find the GCF of 12189 and 12207?
We will first find the prime factorization of 12189 and 12207. After we will calculate the factors of 12189 and 12207 and find the biggest common factor number .
Step-1: Prime Factorization of 12189
Prime factors of 12189 are 3, 17, 239. Prime factorization of 12189 in exponential form is:
12189 = 31 × 171 × 2391
Step-2: Prime Factorization of 12207
Prime factors of 12207 are 3, 13, 313. Prime factorization of 12207 in exponential form is:
12207 = 31 × 131 × 3131
Step-3: Factors of 12189
List of positive integer factors of 12189 that divides 12189 without a remainder.
1, 3, 17, 51, 239, 717, 4063
Step-4: Factors of 12207
List of positive integer factors of 12207 that divides 12189 without a remainder.
1, 3, 13, 39, 313, 939, 4069
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12189 and 12207. The biggest common factor number is the GCF number.
So the greatest common factor 12189 and 12207 is 3.
Also check out the Least Common Multiple of 12189 and 12207
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