What is the Greatest Common Factor of 16887 and 16895?
Greatest common factor (GCF) of 16887 and 16895 is 1.
GCF(16887,16895) = 1
We will now calculate the prime factors of 16887 and 16895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16887 and 16895.
How to find the GCF of 16887 and 16895?
We will first find the prime factorization of 16887 and 16895. After we will calculate the factors of 16887 and 16895 and find the biggest common factor number .
Step-1: Prime Factorization of 16887
Prime factors of 16887 are 3, 13, 433. Prime factorization of 16887 in exponential form is:
16887 = 31 × 131 × 4331
Step-2: Prime Factorization of 16895
Prime factors of 16895 are 5, 31, 109. Prime factorization of 16895 in exponential form is:
16895 = 51 × 311 × 1091
Step-3: Factors of 16887
List of positive integer factors of 16887 that divides 16887 without a remainder.
1, 3, 13, 39, 433, 1299, 5629
Step-4: Factors of 16895
List of positive integer factors of 16895 that divides 16887 without a remainder.
1, 5, 31, 109, 155, 545, 3379
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16887 and 16895. The biggest common factor number is the GCF number.
So the greatest common factor 16887 and 16895 is 1.
Also check out the Least Common Multiple of 16887 and 16895
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