What is the Greatest Common Factor of 16851 and 16857?
Greatest common factor (GCF) of 16851 and 16857 is 3.
GCF(16851,16857) = 3
We will now calculate the prime factors of 16851 and 16857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16851 and 16857.
How to find the GCF of 16851 and 16857?
We will first find the prime factorization of 16851 and 16857. After we will calculate the factors of 16851 and 16857 and find the biggest common factor number .
Step-1: Prime Factorization of 16851
Prime factors of 16851 are 3, 41, 137. Prime factorization of 16851 in exponential form is:
16851 = 31 × 411 × 1371
Step-2: Prime Factorization of 16857
Prime factors of 16857 are 3, 1873. Prime factorization of 16857 in exponential form is:
16857 = 32 × 18731
Step-3: Factors of 16851
List of positive integer factors of 16851 that divides 16851 without a remainder.
1, 3, 41, 123, 137, 411, 5617
Step-4: Factors of 16857
List of positive integer factors of 16857 that divides 16851 without a remainder.
1, 3, 9, 1873, 5619
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16851 and 16857. The biggest common factor number is the GCF number.
So the greatest common factor 16851 and 16857 is 3.
Also check out the Least Common Multiple of 16851 and 16857
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