What is the Greatest Common Factor of 16809 and 16814?
Greatest common factor (GCF) of 16809 and 16814 is 1.
GCF(16809,16814) = 1
We will now calculate the prime factors of 16809 and 16814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16809 and 16814.
How to find the GCF of 16809 and 16814?
We will first find the prime factorization of 16809 and 16814. After we will calculate the factors of 16809 and 16814 and find the biggest common factor number .
Step-1: Prime Factorization of 16809
Prime factors of 16809 are 3, 13, 431. Prime factorization of 16809 in exponential form is:
16809 = 31 × 131 × 4311
Step-2: Prime Factorization of 16814
Prime factors of 16814 are 2, 7, 1201. Prime factorization of 16814 in exponential form is:
16814 = 21 × 71 × 12011
Step-3: Factors of 16809
List of positive integer factors of 16809 that divides 16809 without a remainder.
1, 3, 13, 39, 431, 1293, 5603
Step-4: Factors of 16814
List of positive integer factors of 16814 that divides 16809 without a remainder.
1, 2, 7, 14, 1201, 2402, 8407
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16809 and 16814. The biggest common factor number is the GCF number.
So the greatest common factor 16809 and 16814 is 1.
Also check out the Least Common Multiple of 16809 and 16814
Related Greatest Common Factors of 16809
- GCF of 16809 and 16813
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- GCF of 16809 and 16820
- GCF of 16809 and 16821
- GCF of 16809 and 16822
- GCF of 16809 and 16823
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- GCF of 16809 and 16825
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Related Greatest Common Factors of 16814
- GCF of 16814 and 16818
- GCF of 16814 and 16819
- GCF of 16814 and 16820
- GCF of 16814 and 16821
- GCF of 16814 and 16822
- GCF of 16814 and 16823
- GCF of 16814 and 16824
- GCF of 16814 and 16825
- GCF of 16814 and 16826
- GCF of 16814 and 16827
- GCF of 16814 and 16828
- GCF of 16814 and 16829
- GCF of 16814 and 16830
- GCF of 16814 and 16831
- GCF of 16814 and 16832
- GCF of 16814 and 16833
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