What is the Greatest Common Factor of 16806 and 16822?
Greatest common factor (GCF) of 16806 and 16822 is 2.
GCF(16806,16822) = 2
We will now calculate the prime factors of 16806 and 16822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16806 and 16822.
How to find the GCF of 16806 and 16822?
We will first find the prime factorization of 16806 and 16822. After we will calculate the factors of 16806 and 16822 and find the biggest common factor number .
Step-1: Prime Factorization of 16806
Prime factors of 16806 are 2, 3, 2801. Prime factorization of 16806 in exponential form is:
16806 = 21 × 31 × 28011
Step-2: Prime Factorization of 16822
Prime factors of 16822 are 2, 13, 647. Prime factorization of 16822 in exponential form is:
16822 = 21 × 131 × 6471
Step-3: Factors of 16806
List of positive integer factors of 16806 that divides 16806 without a remainder.
1, 2, 3, 6, 2801, 5602, 8403
Step-4: Factors of 16822
List of positive integer factors of 16822 that divides 16806 without a remainder.
1, 2, 13, 26, 647, 1294, 8411
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16806 and 16822. The biggest common factor number is the GCF number.
So the greatest common factor 16806 and 16822 is 2.
Also check out the Least Common Multiple of 16806 and 16822
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