What is the Greatest Common Factor of 16346 and 16359?
Greatest common factor (GCF) of 16346 and 16359 is 1.
GCF(16346,16359) = 1
We will now calculate the prime factors of 16346 and 16359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16346 and 16359.
How to find the GCF of 16346 and 16359?
We will first find the prime factorization of 16346 and 16359. After we will calculate the factors of 16346 and 16359 and find the biggest common factor number .
Step-1: Prime Factorization of 16346
Prime factors of 16346 are 2, 11, 743. Prime factorization of 16346 in exponential form is:
16346 = 21 × 111 × 7431
Step-2: Prime Factorization of 16359
Prime factors of 16359 are 3, 7, 19, 41. Prime factorization of 16359 in exponential form is:
16359 = 31 × 71 × 191 × 411
Step-3: Factors of 16346
List of positive integer factors of 16346 that divides 16346 without a remainder.
1, 2, 11, 22, 743, 1486, 8173
Step-4: Factors of 16359
List of positive integer factors of 16359 that divides 16346 without a remainder.
1, 3, 7, 19, 21, 41, 57, 123, 133, 287, 399, 779, 861, 2337, 5453
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16346 and 16359. The biggest common factor number is the GCF number.
So the greatest common factor 16346 and 16359 is 1.
Also check out the Least Common Multiple of 16346 and 16359
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