What is the Greatest Common Factor of 16585 and 16604?
Greatest common factor (GCF) of 16585 and 16604 is 1.
GCF(16585,16604) = 1
We will now calculate the prime factors of 16585 and 16604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16585 and 16604.
How to find the GCF of 16585 and 16604?
We will first find the prime factorization of 16585 and 16604. After we will calculate the factors of 16585 and 16604 and find the biggest common factor number .
Step-1: Prime Factorization of 16585
Prime factors of 16585 are 5, 31, 107. Prime factorization of 16585 in exponential form is:
16585 = 51 × 311 × 1071
Step-2: Prime Factorization of 16604
Prime factors of 16604 are 2, 7, 593. Prime factorization of 16604 in exponential form is:
16604 = 22 × 71 × 5931
Step-3: Factors of 16585
List of positive integer factors of 16585 that divides 16585 without a remainder.
1, 5, 31, 107, 155, 535, 3317
Step-4: Factors of 16604
List of positive integer factors of 16604 that divides 16585 without a remainder.
1, 2, 4, 7, 14, 28, 593, 1186, 2372, 4151, 8302
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16585 and 16604. The biggest common factor number is the GCF number.
So the greatest common factor 16585 and 16604 is 1.
Also check out the Least Common Multiple of 16585 and 16604
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Related Greatest Common Factors of 16604
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