What is the Greatest Common Factor of 12003 and 12014?
Greatest common factor (GCF) of 12003 and 12014 is 1.
GCF(12003,12014) = 1
We will now calculate the prime factors of 12003 and 12014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12003 and 12014.
How to find the GCF of 12003 and 12014?
We will first find the prime factorization of 12003 and 12014. After we will calculate the factors of 12003 and 12014 and find the biggest common factor number .
Step-1: Prime Factorization of 12003
Prime factors of 12003 are 3, 4001. Prime factorization of 12003 in exponential form is:
12003 = 31 × 40011
Step-2: Prime Factorization of 12014
Prime factors of 12014 are 2, 6007. Prime factorization of 12014 in exponential form is:
12014 = 21 × 60071
Step-3: Factors of 12003
List of positive integer factors of 12003 that divides 12003 without a remainder.
1, 3, 4001
Step-4: Factors of 12014
List of positive integer factors of 12014 that divides 12003 without a remainder.
1, 2, 6007
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12003 and 12014. The biggest common factor number is the GCF number.
So the greatest common factor 12003 and 12014 is 1.
Also check out the Least Common Multiple of 12003 and 12014
Related Greatest Common Factors of 12003
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Related Greatest Common Factors of 12014
- GCF of 12014 and 12018
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- GCF of 12014 and 12030
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