What is the Greatest Common Factor of 16801 and 16808?
Greatest common factor (GCF) of 16801 and 16808 is 1.
GCF(16801,16808) = 1
We will now calculate the prime factors of 16801 and 16808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16801 and 16808.
How to find the GCF of 16801 and 16808?
We will first find the prime factorization of 16801 and 16808. After we will calculate the factors of 16801 and 16808 and find the biggest common factor number .
Step-1: Prime Factorization of 16801
Prime factors of 16801 are 53, 317. Prime factorization of 16801 in exponential form is:
16801 = 531 × 3171
Step-2: Prime Factorization of 16808
Prime factors of 16808 are 2, 11, 191. Prime factorization of 16808 in exponential form is:
16808 = 23 × 111 × 1911
Step-3: Factors of 16801
List of positive integer factors of 16801 that divides 16801 without a remainder.
1, 53, 317
Step-4: Factors of 16808
List of positive integer factors of 16808 that divides 16801 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 191, 382, 764, 1528, 2101, 4202, 8404
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16801 and 16808. The biggest common factor number is the GCF number.
So the greatest common factor 16801 and 16808 is 1.
Also check out the Least Common Multiple of 16801 and 16808
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